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Finding the Fourth Proportional to 7,822.60, 11,732.14 and 2,275.88

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Solution

The fourth proportional to 7,822.60, 11,732.14 and 2,275.88 is: 3,413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.60 : 11,732.14 = 2,275.88 : x
  2. Step 2: Convert to fraction form
    7,822.60/11,732.14 = 2,275.88/x
  3. Step 3: Cross multiply
    7,822.60x = 11,732.14 × 2,275.88
  4. Step 4: Simplify right side
    7,822.60x = 26,700,942.78
  5. Step 5: Solve for x
    x = 26,700,942.78/7,822.60
  6. Step 6: Final answer
    x = 3,413.31

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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.