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Finding the Fourth Proportional to 7,572.88, 11,359.44 and 3,864.64

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Solution

The fourth proportional to 7,572.88, 11,359.44 and 3,864.64 is: 5,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.88 : 11,359.44 = 3,864.64 : x
  2. Step 2: Convert to fraction form
    7,572.88/11,359.44 = 3,864.64/x
  3. Step 3: Cross multiply
    7,572.88x = 11,359.44 × 3,864.64
  4. Step 4: Simplify right side
    7,572.88x = 43,900,146.20
  5. Step 5: Solve for x
    x = 43,900,146.20/7,572.88
  6. Step 6: Final answer
    x = 5,797.02

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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.