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Finding the Fourth Proportional to 8,470.32, 12,683.61 and 7,529.91

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Solution

The fourth proportional to 8,470.32, 12,683.61 and 7,529.91 is: 11,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.32 : 12,683.61 = 7,529.91 : x
  2. Step 2: Convert to fraction form
    8,470.32/12,683.61 = 7,529.91/x
  3. Step 3: Cross multiply
    8,470.32x = 12,683.61 × 7,529.91
  4. Step 4: Simplify right side
    8,470.32x = 95,506,441.78
  5. Step 5: Solve for x
    x = 95,506,441.78/8,470.32
  6. Step 6: Final answer
    x = 11,275.42

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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.