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Finding the Fourth Proportional to 10,274.60, 15,413.99 and 3,700.82

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Solution

The fourth proportional to 10,274.60, 15,413.99 and 3,700.82 is: 5,551.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.60 : 15,413.99 = 3,700.82 : x
  2. Step 2: Convert to fraction form
    10,274.60/15,413.99 = 3,700.82/x
  3. Step 3: Cross multiply
    10,274.60x = 15,413.99 × 3,700.82
  4. Step 4: Simplify right side
    10,274.60x = 57,044,306.90
  5. Step 5: Solve for x
    x = 57,044,306.90/10,274.60
  6. Step 6: Final answer
    x = 5,551.98

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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.