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Finding the Fourth Proportional to 7,686.77, 11,522.94 and 4,171.62

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Solution

The fourth proportional to 7,686.77, 11,522.94 and 4,171.62 is: 6,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.77 : 11,522.94 = 4,171.62 : x
  2. Step 2: Convert to fraction form
    7,686.77/11,522.94 = 4,171.62/x
  3. Step 3: Cross multiply
    7,686.77x = 11,522.94 × 4,171.62
  4. Step 4: Simplify right side
    7,686.77x = 48,069,326.96
  5. Step 5: Solve for x
    x = 48,069,326.96/7,686.77
  6. Step 6: Final answer
    x = 6,253.52

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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.