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Finding the Fourth Proportional to 7,552.72, 11,330.68 and 2,288.14

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Solution

The fourth proportional to 7,552.72, 11,330.68 and 2,288.14 is: 3,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.72 : 11,330.68 = 2,288.14 : x
  2. Step 2: Convert to fraction form
    7,552.72/11,330.68 = 2,288.14/x
  3. Step 3: Cross multiply
    7,552.72x = 11,330.68 × 2,288.14
  4. Step 4: Simplify right side
    7,552.72x = 25,926,182.14
  5. Step 5: Solve for x
    x = 25,926,182.14/7,552.72
  6. Step 6: Final answer
    x = 3,432.69

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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.