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Finding the Fourth Proportional to 8,486.36, 12,715.92 and 5,702.78

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Solution

The fourth proportional to 8,486.36, 12,715.92 and 5,702.78 is: 8,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.36 : 12,715.92 = 5,702.78 : x
  2. Step 2: Convert to fraction form
    8,486.36/12,715.92 = 5,702.78/x
  3. Step 3: Cross multiply
    8,486.36x = 12,715.92 × 5,702.78
  4. Step 4: Simplify right side
    8,486.36x = 72,516,094.26
  5. Step 5: Solve for x
    x = 72,516,094.26/8,486.36
  6. Step 6: Final answer
    x = 8,545.02

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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.