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Finding the Fourth Proportional to 12,878.80, 17,772.72 and 7,502.56

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Solution

The fourth proportional to 12,878.80, 17,772.72 and 7,502.56 is: 10,353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.80 : 17,772.72 = 7,502.56 : x
  2. Step 2: Convert to fraction form
    12,878.80/17,772.72 = 7,502.56/x
  3. Step 3: Cross multiply
    12,878.80x = 17,772.72 × 7,502.56
  4. Step 4: Simplify right side
    12,878.80x = 133,340,898.16
  5. Step 5: Solve for x
    x = 133,340,898.16/12,878.80
  6. Step 6: Final answer
    x = 10,353.52

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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.