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Finding the Fourth Proportional to 10,281.40, 15,422.00 and 2,885.83

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Solution

The fourth proportional to 10,281.40, 15,422.00 and 2,885.83 is: 4,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.40 : 15,422.00 = 2,885.83 : x
  2. Step 2: Convert to fraction form
    10,281.40/15,422.00 = 2,885.83/x
  3. Step 3: Cross multiply
    10,281.40x = 15,422.00 × 2,885.83
  4. Step 4: Simplify right side
    10,281.40x = 44,505,217.28
  5. Step 5: Solve for x
    x = 44,505,217.28/10,281.40
  6. Step 6: Final answer
    x = 4,328.71

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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.