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Finding the Fourth Proportional to 8,171.56, 12,176.18 and 7,774.84

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Solution

The fourth proportional to 8,171.56, 12,176.18 and 7,774.84 is: 11,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.56 : 12,176.18 = 7,774.84 : x
  2. Step 2: Convert to fraction form
    8,171.56/12,176.18 = 7,774.84/x
  3. Step 3: Cross multiply
    8,171.56x = 12,176.18 × 7,774.84
  4. Step 4: Simplify right side
    8,171.56x = 94,667,851.31
  5. Step 5: Solve for x
    x = 94,667,851.31/8,171.56
  6. Step 6: Final answer
    x = 11,585.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.