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Finding the Fourth Proportional to 10,518.50, 14,506.38 and 9,101.73

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Solution

The fourth proportional to 10,518.50, 14,506.38 and 9,101.73 is: 12,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.50 : 14,506.38 = 9,101.73 : x
  2. Step 2: Convert to fraction form
    10,518.50/14,506.38 = 9,101.73/x
  3. Step 3: Cross multiply
    10,518.50x = 14,506.38 × 9,101.73
  4. Step 4: Simplify right side
    10,518.50x = 132,033,154.04
  5. Step 5: Solve for x
    x = 132,033,154.04/10,518.50
  6. Step 6: Final answer
    x = 12,552.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.