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Finding the Fourth Proportional to 7,413.68, 11,124.62 and 3,034.21

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Solution

The fourth proportional to 7,413.68, 11,124.62 and 3,034.21 is: 4,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.68 : 11,124.62 = 3,034.21 : x
  2. Step 2: Convert to fraction form
    7,413.68/11,124.62 = 3,034.21/x
  3. Step 3: Cross multiply
    7,413.68x = 11,124.62 × 3,034.21
  4. Step 4: Simplify right side
    7,413.68x = 33,754,422.50
  5. Step 5: Solve for x
    x = 33,754,422.50/7,413.68
  6. Step 6: Final answer
    x = 4,552.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.