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Finding the Fourth Proportional to 10,057.80, 13,881.12 and 6,079.08

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Solution

The fourth proportional to 10,057.80, 13,881.12 and 6,079.08 is: 8,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.80 : 13,881.12 = 6,079.08 : x
  2. Step 2: Convert to fraction form
    10,057.80/13,881.12 = 6,079.08/x
  3. Step 3: Cross multiply
    10,057.80x = 13,881.12 × 6,079.08
  4. Step 4: Simplify right side
    10,057.80x = 84,384,438.97
  5. Step 5: Solve for x
    x = 84,384,438.97/10,057.80
  6. Step 6: Final answer
    x = 8,389.95

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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.