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Finding the Fourth Proportional to 11,503.62, 15,869.42 and 6,785.17

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Solution

The fourth proportional to 11,503.62, 15,869.42 and 6,785.17 is: 9,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.62 : 15,869.42 = 6,785.17 : x
  2. Step 2: Convert to fraction form
    11,503.62/15,869.42 = 6,785.17/x
  3. Step 3: Cross multiply
    11,503.62x = 15,869.42 × 6,785.17
  4. Step 4: Simplify right side
    11,503.62x = 107,676,664.35
  5. Step 5: Solve for x
    x = 107,676,664.35/11,503.62
  6. Step 6: Final answer
    x = 9,360.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.