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Finding the Fourth Proportional to 8,470.52, 12,715.32 and 4,315.24

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Solution

The fourth proportional to 8,470.52, 12,715.32 and 4,315.24 is: 6,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.52 : 12,715.32 = 4,315.24 : x
  2. Step 2: Convert to fraction form
    8,470.52/12,715.32 = 4,315.24/x
  3. Step 3: Cross multiply
    8,470.52x = 12,715.32 × 4,315.24
  4. Step 4: Simplify right side
    8,470.52x = 54,869,657.48
  5. Step 5: Solve for x
    x = 54,869,657.48/8,470.52
  6. Step 6: Final answer
    x = 6,477.72

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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.