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Finding the Fourth Proportional to 11,672.31, 17,470.94 and 6,117.87

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Solution

The fourth proportional to 11,672.31, 17,470.94 and 6,117.87 is: 9,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.31 : 17,470.94 = 6,117.87 : x
  2. Step 2: Convert to fraction form
    11,672.31/17,470.94 = 6,117.87/x
  3. Step 3: Cross multiply
    11,672.31x = 17,470.94 × 6,117.87
  4. Step 4: Simplify right side
    11,672.31x = 106,884,909.11
  5. Step 5: Solve for x
    x = 106,884,909.11/11,672.31
  6. Step 6: Final answer
    x = 9,157.13

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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.