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Finding the Fourth Proportional to 10,275.68, 15,413.56 and 2,484.48

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Solution

The fourth proportional to 10,275.68, 15,413.56 and 2,484.48 is: 3,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.68 : 15,413.56 = 2,484.48 : x
  2. Step 2: Convert to fraction form
    10,275.68/15,413.56 = 2,484.48/x
  3. Step 3: Cross multiply
    10,275.68x = 15,413.56 × 2,484.48
  4. Step 4: Simplify right side
    10,275.68x = 38,294,681.55
  5. Step 5: Solve for x
    x = 38,294,681.55/10,275.68
  6. Step 6: Final answer
    x = 3,726.73

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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.