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Finding the Fourth Proportional to 6,876.60, 10,334.10 and 6,031.80

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Solution

The fourth proportional to 6,876.60, 10,334.10 and 6,031.80 is: 9,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.60 : 10,334.10 = 6,031.80 : x
  2. Step 2: Convert to fraction form
    6,876.60/10,334.10 = 6,031.80/x
  3. Step 3: Cross multiply
    6,876.60x = 10,334.10 × 6,031.80
  4. Step 4: Simplify right side
    6,876.60x = 62,333,224.38
  5. Step 5: Solve for x
    x = 62,333,224.38/6,876.60
  6. Step 6: Final answer
    x = 9,064.54

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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.