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Finding the Fourth Proportional to 8,010.10, 11,986.80 and 6,981.40

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Solution

The fourth proportional to 8,010.10, 11,986.80 and 6,981.40 is: 10,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.10 : 11,986.80 = 6,981.40 : x
  2. Step 2: Convert to fraction form
    8,010.10/11,986.80 = 6,981.40/x
  3. Step 3: Cross multiply
    8,010.10x = 11,986.80 × 6,981.40
  4. Step 4: Simplify right side
    8,010.10x = 83,684,645.52
  5. Step 5: Solve for x
    x = 83,684,645.52/8,010.10
  6. Step 6: Final answer
    x = 10,447.39

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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.