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Finding the Fourth Proportional to 8,507.77, 12,759.97 and 8,085.83

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Solution

The fourth proportional to 8,507.77, 12,759.97 and 8,085.83 is: 12,127.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.77 : 12,759.97 = 8,085.83 : x
  2. Step 2: Convert to fraction form
    8,507.77/12,759.97 = 8,085.83/x
  3. Step 3: Cross multiply
    8,507.77x = 12,759.97 × 8,085.83
  4. Step 4: Simplify right side
    8,507.77x = 103,174,868.00
  5. Step 5: Solve for x
    x = 103,174,868.00/8,507.77
  6. Step 6: Final answer
    x = 12,127.13

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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.