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Finding the Fourth Proportional to 10,413.52, 15,596.72 and 8,056.96

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Solution

The fourth proportional to 10,413.52, 15,596.72 and 8,056.96 is: 12,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.52 : 15,596.72 = 8,056.96 : x
  2. Step 2: Convert to fraction form
    10,413.52/15,596.72 = 8,056.96/x
  3. Step 3: Cross multiply
    10,413.52x = 15,596.72 × 8,056.96
  4. Step 4: Simplify right side
    10,413.52x = 125,662,149.17
  5. Step 5: Solve for x
    x = 125,662,149.17/10,413.52
  6. Step 6: Final answer
    x = 12,067.21

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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.