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Finding the Fourth Proportional to 11,800.15, 17,684.47 and 4,397.15

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Solution

The fourth proportional to 11,800.15, 17,684.47 and 4,397.15 is: 6,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.15 : 17,684.47 = 4,397.15 : x
  2. Step 2: Convert to fraction form
    11,800.15/17,684.47 = 4,397.15/x
  3. Step 3: Cross multiply
    11,800.15x = 17,684.47 × 4,397.15
  4. Step 4: Simplify right side
    11,800.15x = 77,761,267.26
  5. Step 5: Solve for x
    x = 77,761,267.26/11,800.15
  6. Step 6: Final answer
    x = 6,589.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.