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Finding the Fourth Proportional to 11,384.66, 15,710.90 and 6,349.09

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Solution

The fourth proportional to 11,384.66, 15,710.90 and 6,349.09 is: 8,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.66 : 15,710.90 = 6,349.09 : x
  2. Step 2: Convert to fraction form
    11,384.66/15,710.90 = 6,349.09/x
  3. Step 3: Cross multiply
    11,384.66x = 15,710.90 × 6,349.09
  4. Step 4: Simplify right side
    11,384.66x = 99,749,886.34
  5. Step 5: Solve for x
    x = 99,749,886.34/11,384.66
  6. Step 6: Final answer
    x = 8,761.78

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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.