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Finding the Fourth Proportional to 7,532.57, 11,295 and 4,413.57

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Solution

The fourth proportional to 7,532.57, 11,295 and 4,413.57 is: 6,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,532.57 : 11,295 = 4,413.57 : x
  2. Step 2: Convert to fraction form
    7,532.57/11,295 = 4,413.57/x
  3. Step 3: Cross multiply
    7,532.57x = 11,295 × 4,413.57
  4. Step 4: Simplify right side
    7,532.57x = 49,851,273.15
  5. Step 5: Solve for x
    x = 49,851,273.15/7,532.57
  6. Step 6: Final answer
    x = 6,618.10

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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.