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Finding the Fourth Proportional to 10,901.50, 15,044.53 and 6,186.22

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Solution

The fourth proportional to 10,901.50, 15,044.53 and 6,186.22 is: 8,537.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.50 : 15,044.53 = 6,186.22 : x
  2. Step 2: Convert to fraction form
    10,901.50/15,044.53 = 6,186.22/x
  3. Step 3: Cross multiply
    10,901.50x = 15,044.53 × 6,186.22
  4. Step 4: Simplify right side
    10,901.50x = 93,068,772.38
  5. Step 5: Solve for x
    x = 93,068,772.38/10,901.50
  6. Step 6: Final answer
    x = 8,537.24

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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.