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Finding the Fourth Proportional to 11,489.60, 15,855.28 and 6,454.72

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Solution

The fourth proportional to 11,489.60, 15,855.28 and 6,454.72 is: 8,907.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.60 : 15,855.28 = 6,454.72 : x
  2. Step 2: Convert to fraction form
    11,489.60/15,855.28 = 6,454.72/x
  3. Step 3: Cross multiply
    11,489.60x = 15,855.28 × 6,454.72
  4. Step 4: Simplify right side
    11,489.60x = 102,341,392.92
  5. Step 5: Solve for x
    x = 102,341,392.92/11,489.60
  6. Step 6: Final answer
    x = 8,907.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.