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Finding the Fourth Proportional to 11,476.29, 15,835.98 and 6,439.47

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Solution

The fourth proportional to 11,476.29, 15,835.98 and 6,439.47 is: 8,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.29 : 15,835.98 = 6,439.47 : x
  2. Step 2: Convert to fraction form
    11,476.29/15,835.98 = 6,439.47/x
  3. Step 3: Cross multiply
    11,476.29x = 15,835.98 × 6,439.47
  4. Step 4: Simplify right side
    11,476.29x = 101,975,318.13
  5. Step 5: Solve for x
    x = 101,975,318.13/11,476.29
  6. Step 6: Final answer
    x = 8,885.74

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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.