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Finding the Fourth Proportional to 7,847.52, 10,783.47 and 6,272.88

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Solution

The fourth proportional to 7,847.52, 10,783.47 and 6,272.88 is: 8,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.52 : 10,783.47 = 6,272.88 : x
  2. Step 2: Convert to fraction form
    7,847.52/10,783.47 = 6,272.88/x
  3. Step 3: Cross multiply
    7,847.52x = 10,783.47 × 6,272.88
  4. Step 4: Simplify right side
    7,847.52x = 67,643,413.29
  5. Step 5: Solve for x
    x = 67,643,413.29/7,847.52
  6. Step 6: Final answer
    x = 8,619.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.