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Finding the Fourth Proportional to 10,935.38, 15,092.03 and 6,155.46

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Solution

The fourth proportional to 10,935.38, 15,092.03 and 6,155.46 is: 8,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,935.38 : 15,092.03 = 6,155.46 : x
  2. Step 2: Convert to fraction form
    10,935.38/15,092.03 = 6,155.46/x
  3. Step 3: Cross multiply
    10,935.38x = 15,092.03 × 6,155.46
  4. Step 4: Simplify right side
    10,935.38x = 92,898,386.98
  5. Step 5: Solve for x
    x = 92,898,386.98/10,935.38
  6. Step 6: Final answer
    x = 8,495.21

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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.