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Finding the Fourth Proportional to 7,977.72, 11,965.14 and 2,785.08

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Solution

The fourth proportional to 7,977.72, 11,965.14 and 2,785.08 is: 4,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.72 : 11,965.14 = 2,785.08 : x
  2. Step 2: Convert to fraction form
    7,977.72/11,965.14 = 2,785.08/x
  3. Step 3: Cross multiply
    7,977.72x = 11,965.14 × 2,785.08
  4. Step 4: Simplify right side
    7,977.72x = 33,323,872.11
  5. Step 5: Solve for x
    x = 33,323,872.11/7,977.72
  6. Step 6: Final answer
    x = 4,177.12

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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.