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Finding the Fourth Proportional to 10,872.80, 15,011.08 and 10,202.66

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Solution

The fourth proportional to 10,872.80, 15,011.08 and 10,202.66 is: 14,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.80 : 15,011.08 = 10,202.66 : x
  2. Step 2: Convert to fraction form
    10,872.80/15,011.08 = 10,202.66/x
  3. Step 3: Cross multiply
    10,872.80x = 15,011.08 × 10,202.66
  4. Step 4: Simplify right side
    10,872.80x = 153,152,870.42
  5. Step 5: Solve for x
    x = 153,152,870.42/10,872.80
  6. Step 6: Final answer
    x = 14,085.88

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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.