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Finding the Fourth Proportional to 10,874.64, 16,309.80 and 5,325.60

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Solution

The fourth proportional to 10,874.64, 16,309.80 and 5,325.60 is: 7,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.64 : 16,309.80 = 5,325.60 : x
  2. Step 2: Convert to fraction form
    10,874.64/16,309.80 = 5,325.60/x
  3. Step 3: Cross multiply
    10,874.64x = 16,309.80 × 5,325.60
  4. Step 4: Simplify right side
    10,874.64x = 86,859,470.88
  5. Step 5: Solve for x
    x = 86,859,470.88/10,874.64
  6. Step 6: Final answer
    x = 7,987.34

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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.