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Finding the Fourth Proportional to 10,275.98, 15,413.67 and 2,780.25

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Solution

The fourth proportional to 10,275.98, 15,413.67 and 2,780.25 is: 4,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.98 : 15,413.67 = 2,780.25 : x
  2. Step 2: Convert to fraction form
    10,275.98/15,413.67 = 2,780.25/x
  3. Step 3: Cross multiply
    10,275.98x = 15,413.67 × 2,780.25
  4. Step 4: Simplify right side
    10,275.98x = 42,853,856.02
  5. Step 5: Solve for x
    x = 42,853,856.02/10,275.98
  6. Step 6: Final answer
    x = 4,170.30

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