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Finding the Fourth Proportional to 10,153.08, 15,187.50 and 9,531

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Solution

The fourth proportional to 10,153.08, 15,187.50 and 9,531 is: 14,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.08 : 15,187.50 = 9,531 : x
  2. Step 2: Convert to fraction form
    10,153.08/15,187.50 = 9,531/x
  3. Step 3: Cross multiply
    10,153.08x = 15,187.50 × 9,531
  4. Step 4: Simplify right side
    10,153.08x = 144,752,062.50
  5. Step 5: Solve for x
    x = 144,752,062.50/10,153.08
  6. Step 6: Final answer
    x = 14,256.96

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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.