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Finding the Fourth Proportional to 7,729.53, 11,585.34 and 3,560.79

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Solution

The fourth proportional to 7,729.53, 11,585.34 and 3,560.79 is: 5,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.53 : 11,585.34 = 3,560.79 : x
  2. Step 2: Convert to fraction form
    7,729.53/11,585.34 = 3,560.79/x
  3. Step 3: Cross multiply
    7,729.53x = 11,585.34 × 3,560.79
  4. Step 4: Simplify right side
    7,729.53x = 41,252,962.82
  5. Step 5: Solve for x
    x = 41,252,962.82/7,729.53
  6. Step 6: Final answer
    x = 5,337.06

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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.