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Finding the Fourth Proportional to 8,471.15, 12,689.72 and 4,767.83

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Solution

The fourth proportional to 8,471.15, 12,689.72 and 4,767.83 is: 7,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.15 : 12,689.72 = 4,767.83 : x
  2. Step 2: Convert to fraction form
    8,471.15/12,689.72 = 4,767.83/x
  3. Step 3: Cross multiply
    8,471.15x = 12,689.72 × 4,767.83
  4. Step 4: Simplify right side
    8,471.15x = 60,502,403.87
  5. Step 5: Solve for x
    x = 60,502,403.87/8,471.15
  6. Step 6: Final answer
    x = 7,142.17

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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.