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Finding the Fourth Proportional to 10,580.80, 15,853.20 and 6,877.36

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Solution

The fourth proportional to 10,580.80, 15,853.20 and 6,877.36 is: 10,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.80 : 15,853.20 = 6,877.36 : x
  2. Step 2: Convert to fraction form
    10,580.80/15,853.20 = 6,877.36/x
  3. Step 3: Cross multiply
    10,580.80x = 15,853.20 × 6,877.36
  4. Step 4: Simplify right side
    10,580.80x = 109,028,163.55
  5. Step 5: Solve for x
    x = 109,028,163.55/10,580.80
  6. Step 6: Final answer
    x = 10,304.34

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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.