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Finding the Fourth Proportional to 8,470.68, 12,720.46 and 5,514.16

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Solution

The fourth proportional to 8,470.68, 12,720.46 and 5,514.16 is: 8,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.68 : 12,720.46 = 5,514.16 : x
  2. Step 2: Convert to fraction form
    8,470.68/12,720.46 = 5,514.16/x
  3. Step 3: Cross multiply
    8,470.68x = 12,720.46 × 5,514.16
  4. Step 4: Simplify right side
    8,470.68x = 70,142,651.71
  5. Step 5: Solve for x
    x = 70,142,651.71/8,470.68
  6. Step 6: Final answer
    x = 8,280.64

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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.