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Finding the Fourth Proportional to 11,384.53, 15,709.97 and 6,349.08

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Solution

The fourth proportional to 11,384.53, 15,709.97 and 6,349.08 is: 8,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.53 : 15,709.97 = 6,349.08 : x
  2. Step 2: Convert to fraction form
    11,384.53/15,709.97 = 6,349.08/x
  3. Step 3: Cross multiply
    11,384.53x = 15,709.97 × 6,349.08
  4. Step 4: Simplify right side
    11,384.53x = 99,743,824.58
  5. Step 5: Solve for x
    x = 99,743,824.58/11,384.53
  6. Step 6: Final answer
    x = 8,761.35

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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.