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Finding the Fourth Proportional to 10,488.85, 15,733.31 and 4,248.98

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Solution

The fourth proportional to 10,488.85, 15,733.31 and 4,248.98 is: 6,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.85 : 15,733.31 = 4,248.98 : x
  2. Step 2: Convert to fraction form
    10,488.85/15,733.31 = 4,248.98/x
  3. Step 3: Cross multiply
    10,488.85x = 15,733.31 × 4,248.98
  4. Step 4: Simplify right side
    10,488.85x = 66,850,490.81
  5. Step 5: Solve for x
    x = 66,850,490.81/10,488.85
  6. Step 6: Final answer
    x = 6,373.48

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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.