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Finding the Fourth Proportional to 10,872.64, 16,306.80 and 5,323.60

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Solution

The fourth proportional to 10,872.64, 16,306.80 and 5,323.60 is: 7,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.64 : 16,306.80 = 5,323.60 : x
  2. Step 2: Convert to fraction form
    10,872.64/16,306.80 = 5,323.60/x
  3. Step 3: Cross multiply
    10,872.64x = 16,306.80 × 5,323.60
  4. Step 4: Simplify right side
    10,872.64x = 86,810,880.48
  5. Step 5: Solve for x
    x = 86,810,880.48/10,872.64
  6. Step 6: Final answer
    x = 7,984.34

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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.