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Finding the Fourth Proportional to 8,284.62, 12,428.01 and 5,470.86

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Solution

The fourth proportional to 8,284.62, 12,428.01 and 5,470.86 is: 8,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.62 : 12,428.01 = 5,470.86 : x
  2. Step 2: Convert to fraction form
    8,284.62/12,428.01 = 5,470.86/x
  3. Step 3: Cross multiply
    8,284.62x = 12,428.01 × 5,470.86
  4. Step 4: Simplify right side
    8,284.62x = 67,991,902.79
  5. Step 5: Solve for x
    x = 67,991,902.79/8,284.62
  6. Step 6: Final answer
    x = 8,207.00

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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.