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Finding the Fourth Proportional to 8,275.52, 12,413.30 and 2,803.52

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Solution

The fourth proportional to 8,275.52, 12,413.30 and 2,803.52 is: 4,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.52 : 12,413.30 = 2,803.52 : x
  2. Step 2: Convert to fraction form
    8,275.52/12,413.30 = 2,803.52/x
  3. Step 3: Cross multiply
    8,275.52x = 12,413.30 × 2,803.52
  4. Step 4: Simplify right side
    8,275.52x = 34,800,934.82
  5. Step 5: Solve for x
    x = 34,800,934.82/8,275.52
  6. Step 6: Final answer
    x = 4,205.29

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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.