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Finding the Fourth Proportional to 10,212.30, 15,318.45 and 6,713.10

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Solution

The fourth proportional to 10,212.30, 15,318.45 and 6,713.10 is: 10,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.30 : 15,318.45 = 6,713.10 : x
  2. Step 2: Convert to fraction form
    10,212.30/15,318.45 = 6,713.10/x
  3. Step 3: Cross multiply
    10,212.30x = 15,318.45 × 6,713.10
  4. Step 4: Simplify right side
    10,212.30x = 102,834,286.70
  5. Step 5: Solve for x
    x = 102,834,286.70/10,212.30
  6. Step 6: Final answer
    x = 10,069.65

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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.