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Finding the Fourth Proportional to 8,500.86, 12,730.76 and 5,113.91

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Solution

The fourth proportional to 8,500.86, 12,730.76 and 5,113.91 is: 7,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.86 : 12,730.76 = 5,113.91 : x
  2. Step 2: Convert to fraction form
    8,500.86/12,730.76 = 5,113.91/x
  3. Step 3: Cross multiply
    8,500.86x = 12,730.76 × 5,113.91
  4. Step 4: Simplify right side
    8,500.86x = 65,103,960.87
  5. Step 5: Solve for x
    x = 65,103,960.87/8,500.86
  6. Step 6: Final answer
    x = 7,658.51

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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.