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Finding the Fourth Proportional to 7,138.14, 10,683.93 and 6,456.12

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Solution

The fourth proportional to 7,138.14, 10,683.93 and 6,456.12 is: 9,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.14 : 10,683.93 = 6,456.12 : x
  2. Step 2: Convert to fraction form
    7,138.14/10,683.93 = 6,456.12/x
  3. Step 3: Cross multiply
    7,138.14x = 10,683.93 × 6,456.12
  4. Step 4: Simplify right side
    7,138.14x = 68,976,723.92
  5. Step 5: Solve for x
    x = 68,976,723.92/7,138.14
  6. Step 6: Final answer
    x = 9,663.12

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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.