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Finding the Fourth Proportional to 10,077.60, 13,904.94 and 6,097.92

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Solution

The fourth proportional to 10,077.60, 13,904.94 and 6,097.92 is: 8,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.60 : 13,904.94 = 6,097.92 : x
  2. Step 2: Convert to fraction form
    10,077.60/13,904.94 = 6,097.92/x
  3. Step 3: Cross multiply
    10,077.60x = 13,904.94 × 6,097.92
  4. Step 4: Simplify right side
    10,077.60x = 84,791,211.72
  5. Step 5: Solve for x
    x = 84,791,211.72/10,077.60
  6. Step 6: Final answer
    x = 8,413.83

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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.