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Finding the Fourth Proportional to 10,915.93, 16,343.11 and 10,566.01

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Solution

The fourth proportional to 10,915.93, 16,343.11 and 10,566.01 is: 15,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.93 : 16,343.11 = 10,566.01 : x
  2. Step 2: Convert to fraction form
    10,915.93/16,343.11 = 10,566.01/x
  3. Step 3: Cross multiply
    10,915.93x = 16,343.11 × 10,566.01
  4. Step 4: Simplify right side
    10,915.93x = 172,681,463.69
  5. Step 5: Solve for x
    x = 172,681,463.69/10,915.93
  6. Step 6: Final answer
    x = 15,819.22

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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.