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Finding the Fourth Proportional to 10,732.60, 14,812.86 and 6,258.97

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Solution

The fourth proportional to 10,732.60, 14,812.86 and 6,258.97 is: 8,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.60 : 14,812.86 = 6,258.97 : x
  2. Step 2: Convert to fraction form
    10,732.60/14,812.86 = 6,258.97/x
  3. Step 3: Cross multiply
    10,732.60x = 14,812.86 × 6,258.97
  4. Step 4: Simplify right side
    10,732.60x = 92,713,246.35
  5. Step 5: Solve for x
    x = 92,713,246.35/10,732.60
  6. Step 6: Final answer
    x = 8,638.47

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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.