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Finding the Fourth Proportional to 7,774.27, 11,656.14 and 2,507.70

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Solution

The fourth proportional to 7,774.27, 11,656.14 and 2,507.70 is: 3,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.27 : 11,656.14 = 2,507.70 : x
  2. Step 2: Convert to fraction form
    7,774.27/11,656.14 = 2,507.70/x
  3. Step 3: Cross multiply
    7,774.27x = 11,656.14 × 2,507.70
  4. Step 4: Simplify right side
    7,774.27x = 29,230,102.28
  5. Step 5: Solve for x
    x = 29,230,102.28/7,774.27
  6. Step 6: Final answer
    x = 3,759.85

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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.