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Finding the Fourth Proportional to 7,722.60, 11,562.84 and 5,631.72

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Solution

The fourth proportional to 7,722.60, 11,562.84 and 5,631.72 is: 8,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.60 : 11,562.84 = 5,631.72 : x
  2. Step 2: Convert to fraction form
    7,722.60/11,562.84 = 5,631.72/x
  3. Step 3: Cross multiply
    7,722.60x = 11,562.84 × 5,631.72
  4. Step 4: Simplify right side
    7,722.60x = 65,118,677.28
  5. Step 5: Solve for x
    x = 65,118,677.28/7,722.60
  6. Step 6: Final answer
    x = 8,432.22

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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.