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Finding the Fourth Proportional to 10,478.96, 15,726.33 and 5,549.70

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Solution

The fourth proportional to 10,478.96, 15,726.33 and 5,549.70 is: 8,328.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.96 : 15,726.33 = 5,549.70 : x
  2. Step 2: Convert to fraction form
    10,478.96/15,726.33 = 5,549.70/x
  3. Step 3: Cross multiply
    10,478.96x = 15,726.33 × 5,549.70
  4. Step 4: Simplify right side
    10,478.96x = 87,276,413.60
  5. Step 5: Solve for x
    x = 87,276,413.60/10,478.96
  6. Step 6: Final answer
    x = 8,328.73

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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.