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Finding the Fourth Proportional to 8,413.50, 11,614.28 and 5,271.52

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Solution

The fourth proportional to 8,413.50, 11,614.28 and 5,271.52 is: 7,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.50 : 11,614.28 = 5,271.52 : x
  2. Step 2: Convert to fraction form
    8,413.50/11,614.28 = 5,271.52/x
  3. Step 3: Cross multiply
    8,413.50x = 11,614.28 × 5,271.52
  4. Step 4: Simplify right side
    8,413.50x = 61,224,909.31
  5. Step 5: Solve for x
    x = 61,224,909.31/8,413.50
  6. Step 6: Final answer
    x = 7,276.98

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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.