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Finding the Fourth Proportional to 10,589.68, 15,885.28 and 2,798.32

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Solution

The fourth proportional to 10,589.68, 15,885.28 and 2,798.32 is: 4,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.68 : 15,885.28 = 2,798.32 : x
  2. Step 2: Convert to fraction form
    10,589.68/15,885.28 = 2,798.32/x
  3. Step 3: Cross multiply
    10,589.68x = 15,885.28 × 2,798.32
  4. Step 4: Simplify right side
    10,589.68x = 44,452,096.73
  5. Step 5: Solve for x
    x = 44,452,096.73/10,589.68
  6. Step 6: Final answer
    x = 4,197.68

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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.