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Finding the Fourth Proportional to 11,402.50, 17,092.13 and 6,461.71

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Solution

The fourth proportional to 11,402.50, 17,092.13 and 6,461.71 is: 9,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.50 : 17,092.13 = 6,461.71 : x
  2. Step 2: Convert to fraction form
    11,402.50/17,092.13 = 6,461.71/x
  3. Step 3: Cross multiply
    11,402.50x = 17,092.13 × 6,461.71
  4. Step 4: Simplify right side
    11,402.50x = 110,444,387.34
  5. Step 5: Solve for x
    x = 110,444,387.34/11,402.50
  6. Step 6: Final answer
    x = 9,685.98

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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.