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Finding the Fourth Proportional to 10,527.39, 15,794.16 and 3,954.06

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Solution

The fourth proportional to 10,527.39, 15,794.16 and 3,954.06 is: 5,932.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.39 : 15,794.16 = 3,954.06 : x
  2. Step 2: Convert to fraction form
    10,527.39/15,794.16 = 3,954.06/x
  3. Step 3: Cross multiply
    10,527.39x = 15,794.16 × 3,954.06
  4. Step 4: Simplify right side
    10,527.39x = 62,451,056.29
  5. Step 5: Solve for x
    x = 62,451,056.29/10,527.39
  6. Step 6: Final answer
    x = 5,932.24

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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.