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Finding the Fourth Proportional to 8,478.90, 12,702.75 and 5,315.74

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Solution

The fourth proportional to 8,478.90, 12,702.75 and 5,315.74 is: 7,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.90 : 12,702.75 = 5,315.74 : x
  2. Step 2: Convert to fraction form
    8,478.90/12,702.75 = 5,315.74/x
  3. Step 3: Cross multiply
    8,478.90x = 12,702.75 × 5,315.74
  4. Step 4: Simplify right side
    8,478.90x = 67,524,516.29
  5. Step 5: Solve for x
    x = 67,524,516.29/8,478.90
  6. Step 6: Final answer
    x = 7,963.83

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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.