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Finding the Fourth Proportional to 7,722.08, 11,527.20 and 6,787.92

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Solution

The fourth proportional to 7,722.08, 11,527.20 and 6,787.92 is: 10,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.08 : 11,527.20 = 6,787.92 : x
  2. Step 2: Convert to fraction form
    7,722.08/11,527.20 = 6,787.92/x
  3. Step 3: Cross multiply
    7,722.08x = 11,527.20 × 6,787.92
  4. Step 4: Simplify right side
    7,722.08x = 78,245,711.42
  5. Step 5: Solve for x
    x = 78,245,711.42/7,722.08
  6. Step 6: Final answer
    x = 10,132.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.