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Finding the Fourth Proportional to 8,365.32, 11,542.82 and 4,827.87

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Solution

The fourth proportional to 8,365.32, 11,542.82 and 4,827.87 is: 6,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.32 : 11,542.82 = 4,827.87 : x
  2. Step 2: Convert to fraction form
    8,365.32/11,542.82 = 4,827.87/x
  3. Step 3: Cross multiply
    8,365.32x = 11,542.82 × 4,827.87
  4. Step 4: Simplify right side
    8,365.32x = 55,727,210.25
  5. Step 5: Solve for x
    x = 55,727,210.25/8,365.32
  6. Step 6: Final answer
    x = 6,661.69

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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.