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Finding the Fourth Proportional to 8,880.34, 13,321.24 and 5,182.96

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Solution

The fourth proportional to 8,880.34, 13,321.24 and 5,182.96 is: 7,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,880.34 : 13,321.24 = 5,182.96 : x
  2. Step 2: Convert to fraction form
    8,880.34/13,321.24 = 5,182.96/x
  3. Step 3: Cross multiply
    8,880.34x = 13,321.24 × 5,182.96
  4. Step 4: Simplify right side
    8,880.34x = 69,043,454.07
  5. Step 5: Solve for x
    x = 69,043,454.07/8,880.34
  6. Step 6: Final answer
    x = 7,774.87

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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.