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Finding the Fourth Proportional to 7,141.53, 10,713.91 and 3,854.55

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Solution

The fourth proportional to 7,141.53, 10,713.91 and 3,854.55 is: 5,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.53 : 10,713.91 = 3,854.55 : x
  2. Step 2: Convert to fraction form
    7,141.53/10,713.91 = 3,854.55/x
  3. Step 3: Cross multiply
    7,141.53x = 10,713.91 × 3,854.55
  4. Step 4: Simplify right side
    7,141.53x = 41,297,301.79
  5. Step 5: Solve for x
    x = 41,297,301.79/7,141.53
  6. Step 6: Final answer
    x = 5,782.70

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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.