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Finding the Fourth Proportional to 8,842.32, 13,280.40 and 5,562

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Solution

The fourth proportional to 8,842.32, 13,280.40 and 5,562 is: 8,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.32 : 13,280.40 = 5,562 : x
  2. Step 2: Convert to fraction form
    8,842.32/13,280.40 = 5,562/x
  3. Step 3: Cross multiply
    8,842.32x = 13,280.40 × 5,562
  4. Step 4: Simplify right side
    8,842.32x = 73,865,584.80
  5. Step 5: Solve for x
    x = 73,865,584.80/8,842.32
  6. Step 6: Final answer
    x = 8,353.64

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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.