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Finding the Fourth Proportional to 7,154.53, 10,729.73 and 2,474.35

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Solution

The fourth proportional to 7,154.53, 10,729.73 and 2,474.35 is: 3,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.53 : 10,729.73 = 2,474.35 : x
  2. Step 2: Convert to fraction form
    7,154.53/10,729.73 = 2,474.35/x
  3. Step 3: Cross multiply
    7,154.53x = 10,729.73 × 2,474.35
  4. Step 4: Simplify right side
    7,154.53x = 26,549,086.79
  5. Step 5: Solve for x
    x = 26,549,086.79/7,154.53
  6. Step 6: Final answer
    x = 3,710.81

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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.