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Finding the Fourth Proportional to 7,549.52, 11,323.92 and 3,642.08

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Solution

The fourth proportional to 7,549.52, 11,323.92 and 3,642.08 is: 5,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.52 : 11,323.92 = 3,642.08 : x
  2. Step 2: Convert to fraction form
    7,549.52/11,323.92 = 3,642.08/x
  3. Step 3: Cross multiply
    7,549.52x = 11,323.92 × 3,642.08
  4. Step 4: Simplify right side
    7,549.52x = 41,242,622.55
  5. Step 5: Solve for x
    x = 41,242,622.55/7,549.52
  6. Step 6: Final answer
    x = 5,462.95

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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.