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Finding the Fourth Proportional to 10,413.13, 14,348.85 and 7,422.61

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Solution

The fourth proportional to 10,413.13, 14,348.85 and 7,422.61 is: 10,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.13 : 14,348.85 = 7,422.61 : x
  2. Step 2: Convert to fraction form
    10,413.13/14,348.85 = 7,422.61/x
  3. Step 3: Cross multiply
    10,413.13x = 14,348.85 × 7,422.61
  4. Step 4: Simplify right side
    10,413.13x = 106,505,917.50
  5. Step 5: Solve for x
    x = 106,505,917.50/10,413.13
  6. Step 6: Final answer
    x = 10,228.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.