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Finding the Fourth Proportional to 10,474.17, 15,708.21 and 3,077.25

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Solution

The fourth proportional to 10,474.17, 15,708.21 and 3,077.25 is: 4,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.17 : 15,708.21 = 3,077.25 : x
  2. Step 2: Convert to fraction form
    10,474.17/15,708.21 = 3,077.25/x
  3. Step 3: Cross multiply
    10,474.17x = 15,708.21 × 3,077.25
  4. Step 4: Simplify right side
    10,474.17x = 48,338,089.22
  5. Step 5: Solve for x
    x = 48,338,089.22/10,474.17
  6. Step 6: Final answer
    x = 4,614.98

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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.