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Finding the Fourth Proportional to 10,573.62, 14,591.42 and 6,097.02

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Solution

The fourth proportional to 10,573.62, 14,591.42 and 6,097.02 is: 8,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.62 : 14,591.42 = 6,097.02 : x
  2. Step 2: Convert to fraction form
    10,573.62/14,591.42 = 6,097.02/x
  3. Step 3: Cross multiply
    10,573.62x = 14,591.42 × 6,097.02
  4. Step 4: Simplify right side
    10,573.62x = 88,964,179.57
  5. Step 5: Solve for x
    x = 88,964,179.57/10,573.62
  6. Step 6: Final answer
    x = 8,413.79

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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.