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Finding the Fourth Proportional to 10,568.71, 15,853.97 and 2,777.50

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Solution

The fourth proportional to 10,568.71, 15,853.97 and 2,777.50 is: 4,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.71 : 15,853.97 = 2,777.50 : x
  2. Step 2: Convert to fraction form
    10,568.71/15,853.97 = 2,777.50/x
  3. Step 3: Cross multiply
    10,568.71x = 15,853.97 × 2,777.50
  4. Step 4: Simplify right side
    10,568.71x = 44,034,401.68
  5. Step 5: Solve for x
    x = 44,034,401.68/10,568.71
  6. Step 6: Final answer
    x = 4,166.49

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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.