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Finding the Fourth Proportional to 10,488.98, 15,733.47 and 7,192.07

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Solution

The fourth proportional to 10,488.98, 15,733.47 and 7,192.07 is: 10,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.98 : 15,733.47 = 7,192.07 : x
  2. Step 2: Convert to fraction form
    10,488.98/15,733.47 = 7,192.07/x
  3. Step 3: Cross multiply
    10,488.98x = 15,733.47 × 7,192.07
  4. Step 4: Simplify right side
    10,488.98x = 113,156,217.58
  5. Step 5: Solve for x
    x = 113,156,217.58/10,488.98
  6. Step 6: Final answer
    x = 10,788.11

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.