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Finding the Fourth Proportional to 7,468.78, 11,204.84 and 2,275.06

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Solution

The fourth proportional to 7,468.78, 11,204.84 and 2,275.06 is: 3,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.78 : 11,204.84 = 2,275.06 : x
  2. Step 2: Convert to fraction form
    7,468.78/11,204.84 = 2,275.06/x
  3. Step 3: Cross multiply
    7,468.78x = 11,204.84 × 2,275.06
  4. Step 4: Simplify right side
    7,468.78x = 25,491,683.29
  5. Step 5: Solve for x
    x = 25,491,683.29/7,468.78
  6. Step 6: Final answer
    x = 3,413.10

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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.