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Finding the Fourth Proportional to 10,132.43, 15,175.13 and 9,782.01

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Solution

The fourth proportional to 10,132.43, 15,175.13 and 9,782.01 is: 14,650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.43 : 15,175.13 = 9,782.01 : x
  2. Step 2: Convert to fraction form
    10,132.43/15,175.13 = 9,782.01/x
  3. Step 3: Cross multiply
    10,132.43x = 15,175.13 × 9,782.01
  4. Step 4: Simplify right side
    10,132.43x = 148,443,224.50
  5. Step 5: Solve for x
    x = 148,443,224.50/10,132.43
  6. Step 6: Final answer
    x = 14,650.32

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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.