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Finding the Fourth Proportional to 7,777.52, 11,671.10 and 6,186.82

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Solution

The fourth proportional to 7,777.52, 11,671.10 and 6,186.82 is: 9,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.52 : 11,671.10 = 6,186.82 : x
  2. Step 2: Convert to fraction form
    7,777.52/11,671.10 = 6,186.82/x
  3. Step 3: Cross multiply
    7,777.52x = 11,671.10 × 6,186.82
  4. Step 4: Simplify right side
    7,777.52x = 72,206,994.90
  5. Step 5: Solve for x
    x = 72,206,994.90/7,777.52
  6. Step 6: Final answer
    x = 9,284.06

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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.