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Finding the Fourth Proportional to 10,589.64, 15,881.76 and 3,568.56

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Solution

The fourth proportional to 10,589.64, 15,881.76 and 3,568.56 is: 5,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.64 : 15,881.76 = 3,568.56 : x
  2. Step 2: Convert to fraction form
    10,589.64/15,881.76 = 3,568.56/x
  3. Step 3: Cross multiply
    10,589.64x = 15,881.76 × 3,568.56
  4. Step 4: Simplify right side
    10,589.64x = 56,675,013.47
  5. Step 5: Solve for x
    x = 56,675,013.47/10,589.64
  6. Step 6: Final answer
    x = 5,351.93

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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.