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Finding the Fourth Proportional to 10,013.80, 13,822.02 and 6,476.92

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Solution

The fourth proportional to 10,013.80, 13,822.02 and 6,476.92 is: 8,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.80 : 13,822.02 = 6,476.92 : x
  2. Step 2: Convert to fraction form
    10,013.80/13,822.02 = 6,476.92/x
  3. Step 3: Cross multiply
    10,013.80x = 13,822.02 × 6,476.92
  4. Step 4: Simplify right side
    10,013.80x = 89,524,117.78
  5. Step 5: Solve for x
    x = 89,524,117.78/10,013.80
  6. Step 6: Final answer
    x = 8,940.07

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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.