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Finding the Fourth Proportional to 10,139.80, 15,204.84 and 5,206.90

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Solution

The fourth proportional to 10,139.80, 15,204.84 and 5,206.90 is: 7,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.80 : 15,204.84 = 5,206.90 : x
  2. Step 2: Convert to fraction form
    10,139.80/15,204.84 = 5,206.90/x
  3. Step 3: Cross multiply
    10,139.80x = 15,204.84 × 5,206.90
  4. Step 4: Simplify right side
    10,139.80x = 79,170,081.40
  5. Step 5: Solve for x
    x = 79,170,081.40/10,139.80
  6. Step 6: Final answer
    x = 7,807.85

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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.