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Finding the Fourth Proportional to 7,149.49, 10,712.54 and 6,876.11

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Solution

The fourth proportional to 7,149.49, 10,712.54 and 6,876.11 is: 10,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.49 : 10,712.54 = 6,876.11 : x
  2. Step 2: Convert to fraction form
    7,149.49/10,712.54 = 6,876.11/x
  3. Step 3: Cross multiply
    7,149.49x = 10,712.54 × 6,876.11
  4. Step 4: Simplify right side
    7,149.49x = 73,660,647.39
  5. Step 5: Solve for x
    x = 73,660,647.39/7,149.49
  6. Step 6: Final answer
    x = 10,302.93

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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.