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Finding the Fourth Proportional to 10,206.16, 15,309.24 and 3,186.78

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Solution

The fourth proportional to 10,206.16, 15,309.24 and 3,186.78 is: 4,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.16 : 15,309.24 = 3,186.78 : x
  2. Step 2: Convert to fraction form
    10,206.16/15,309.24 = 3,186.78/x
  3. Step 3: Cross multiply
    10,206.16x = 15,309.24 × 3,186.78
  4. Step 4: Simplify right side
    10,206.16x = 48,787,139.40
  5. Step 5: Solve for x
    x = 48,787,139.40/10,206.16
  6. Step 6: Final answer
    x = 4,780.17

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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.