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Finding the Fourth Proportional to 7,543.76, 10,413.24 and 4,400

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Solution

The fourth proportional to 7,543.76, 10,413.24 and 4,400 is: 6,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.76 : 10,413.24 = 4,400 : x
  2. Step 2: Convert to fraction form
    7,543.76/10,413.24 = 4,400/x
  3. Step 3: Cross multiply
    7,543.76x = 10,413.24 × 4,400
  4. Step 4: Simplify right side
    7,543.76x = 45,818,256
  5. Step 5: Solve for x
    x = 45,818,256/7,543.76
  6. Step 6: Final answer
    x = 6,073.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.