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Finding the Fourth Proportional to 11,475.93, 15,836.82 and 6,439.47

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Solution

The fourth proportional to 11,475.93, 15,836.82 and 6,439.47 is: 8,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.93 : 15,836.82 = 6,439.47 : x
  2. Step 2: Convert to fraction form
    11,475.93/15,836.82 = 6,439.47/x
  3. Step 3: Cross multiply
    11,475.93x = 15,836.82 × 6,439.47
  4. Step 4: Simplify right side
    11,475.93x = 101,980,727.29
  5. Step 5: Solve for x
    x = 101,980,727.29/11,475.93
  6. Step 6: Final answer
    x = 8,886.49

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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.