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Finding the Fourth Proportional to 11,384.64, 15,710.89 and 6,349.18

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Solution

The fourth proportional to 11,384.64, 15,710.89 and 6,349.18 is: 8,761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.64 : 15,710.89 = 6,349.18 : x
  2. Step 2: Convert to fraction form
    11,384.64/15,710.89 = 6,349.18/x
  3. Step 3: Cross multiply
    11,384.64x = 15,710.89 × 6,349.18
  4. Step 4: Simplify right side
    11,384.64x = 99,751,252.70
  5. Step 5: Solve for x
    x = 99,751,252.70/11,384.64
  6. Step 6: Final answer
    x = 8,761.92

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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.