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Finding the Fourth Proportional to 7,729.32, 11,575.95 and 5,644.16

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Solution

The fourth proportional to 7,729.32, 11,575.95 and 5,644.16 is: 8,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.32 : 11,575.95 = 5,644.16 : x
  2. Step 2: Convert to fraction form
    7,729.32/11,575.95 = 5,644.16/x
  3. Step 3: Cross multiply
    7,729.32x = 11,575.95 × 5,644.16
  4. Step 4: Simplify right side
    7,729.32x = 65,336,513.95
  5. Step 5: Solve for x
    x = 65,336,513.95/7,729.32
  6. Step 6: Final answer
    x = 8,453.07

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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.