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Finding the Fourth Proportional to 10,275.35, 15,413.02 and 2,484.16

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Solution

The fourth proportional to 10,275.35, 15,413.02 and 2,484.16 is: 3,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.35 : 15,413.02 = 2,484.16 : x
  2. Step 2: Convert to fraction form
    10,275.35/15,413.02 = 2,484.16/x
  3. Step 3: Cross multiply
    10,275.35x = 15,413.02 × 2,484.16
  4. Step 4: Simplify right side
    10,275.35x = 38,288,363.02
  5. Step 5: Solve for x
    x = 38,288,363.02/10,275.35
  6. Step 6: Final answer
    x = 3,726.24

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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.