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Finding the Fourth Proportional to 7,607.28, 11,411.24 and 2,413.04

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Solution

The fourth proportional to 7,607.28, 11,411.24 and 2,413.04 is: 3,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.28 : 11,411.24 = 2,413.04 : x
  2. Step 2: Convert to fraction form
    7,607.28/11,411.24 = 2,413.04/x
  3. Step 3: Cross multiply
    7,607.28x = 11,411.24 × 2,413.04
  4. Step 4: Simplify right side
    7,607.28x = 27,535,778.57
  5. Step 5: Solve for x
    x = 27,535,778.57/7,607.28
  6. Step 6: Final answer
    x = 3,619.66

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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.