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Finding the Fourth Proportional to 10,361.47, 15,546.79 and 5,429.93

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Solution

The fourth proportional to 10,361.47, 15,546.79 and 5,429.93 is: 8,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.47 : 15,546.79 = 5,429.93 : x
  2. Step 2: Convert to fraction form
    10,361.47/15,546.79 = 5,429.93/x
  3. Step 3: Cross multiply
    10,361.47x = 15,546.79 × 5,429.93
  4. Step 4: Simplify right side
    10,361.47x = 84,417,981.42
  5. Step 5: Solve for x
    x = 84,417,981.42/10,361.47
  6. Step 6: Final answer
    x = 8,147.30

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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.