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Finding the Fourth Proportional to 11,474.68, 15,844.40 and 9,350.53

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Solution

The fourth proportional to 11,474.68, 15,844.40 and 9,350.53 is: 12,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.68 : 15,844.40 = 9,350.53 : x
  2. Step 2: Convert to fraction form
    11,474.68/15,844.40 = 9,350.53/x
  3. Step 3: Cross multiply
    11,474.68x = 15,844.40 × 9,350.53
  4. Step 4: Simplify right side
    11,474.68x = 148,153,490.78
  5. Step 5: Solve for x
    x = 148,153,490.78/11,474.68
  6. Step 6: Final answer
    x = 12,911.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.