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Finding the Fourth Proportional to 8,701.54, 13,032.50 and 6,815.66

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Solution

The fourth proportional to 8,701.54, 13,032.50 and 6,815.66 is: 10,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,701.54 : 13,032.50 = 6,815.66 : x
  2. Step 2: Convert to fraction form
    8,701.54/13,032.50 = 6,815.66/x
  3. Step 3: Cross multiply
    8,701.54x = 13,032.50 × 6,815.66
  4. Step 4: Simplify right side
    8,701.54x = 88,824,989.71
  5. Step 5: Solve for x
    x = 88,824,989.71/8,701.54
  6. Step 6: Final answer
    x = 10,207.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.