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Finding the Fourth Proportional to 7,691.20, 11,532.18 and 3,005.72

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Solution

The fourth proportional to 7,691.20, 11,532.18 and 3,005.72 is: 4,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.20 : 11,532.18 = 3,005.72 : x
  2. Step 2: Convert to fraction form
    7,691.20/11,532.18 = 3,005.72/x
  3. Step 3: Cross multiply
    7,691.20x = 11,532.18 × 3,005.72
  4. Step 4: Simplify right side
    7,691.20x = 34,662,446.41
  5. Step 5: Solve for x
    x = 34,662,446.41/7,691.20
  6. Step 6: Final answer
    x = 4,506.77

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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.