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Finding the Fourth Proportional to 11,293.71, 15,584.67 and 6,257.63

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Solution

The fourth proportional to 11,293.71, 15,584.67 and 6,257.63 is: 8,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.71 : 15,584.67 = 6,257.63 : x
  2. Step 2: Convert to fraction form
    11,293.71/15,584.67 = 6,257.63/x
  3. Step 3: Cross multiply
    11,293.71x = 15,584.67 × 6,257.63
  4. Step 4: Simplify right side
    11,293.71x = 97,523,098.53
  5. Step 5: Solve for x
    x = 97,523,098.53/11,293.71
  6. Step 6: Final answer
    x = 8,635.17

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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.