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Finding the Fourth Proportional to 7,572.84, 11,359.31 and 2,642.46

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Solution

The fourth proportional to 7,572.84, 11,359.31 and 2,642.46 is: 3,963.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.84 : 11,359.31 = 2,642.46 : x
  2. Step 2: Convert to fraction form
    7,572.84/11,359.31 = 2,642.46/x
  3. Step 3: Cross multiply
    7,572.84x = 11,359.31 × 2,642.46
  4. Step 4: Simplify right side
    7,572.84x = 30,016,509.09
  5. Step 5: Solve for x
    x = 30,016,509.09/7,572.84
  6. Step 6: Final answer
    x = 3,963.71

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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.