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Finding the Fourth Proportional to 10,275.39, 15,413.09 and 2,484.20

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Solution

The fourth proportional to 10,275.39, 15,413.09 and 2,484.20 is: 3,726.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.39 : 15,413.09 = 2,484.20 : x
  2. Step 2: Convert to fraction form
    10,275.39/15,413.09 = 2,484.20/x
  3. Step 3: Cross multiply
    10,275.39x = 15,413.09 × 2,484.20
  4. Step 4: Simplify right side
    10,275.39x = 38,289,224.29
  5. Step 5: Solve for x
    x = 38,289,224.29/10,275.39
  6. Step 6: Final answer
    x = 3,726.30

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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.