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Finding the Fourth Proportional to 8,741.39, 11,997.65 and 7,775.46

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Solution

The fourth proportional to 8,741.39, 11,997.65 and 7,775.46 is: 10,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.39 : 11,997.65 = 7,775.46 : x
  2. Step 2: Convert to fraction form
    8,741.39/11,997.65 = 7,775.46/x
  3. Step 3: Cross multiply
    8,741.39x = 11,997.65 × 7,775.46
  4. Step 4: Simplify right side
    8,741.39x = 93,287,267.11
  5. Step 5: Solve for x
    x = 93,287,267.11/8,741.39
  6. Step 6: Final answer
    x = 10,671.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.