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Finding the Fourth Proportional to 8,382.86, 11,568.02 and 4,657.10

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Solution

The fourth proportional to 8,382.86, 11,568.02 and 4,657.10 is: 6,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.86 : 11,568.02 = 4,657.10 : x
  2. Step 2: Convert to fraction form
    8,382.86/11,568.02 = 4,657.10/x
  3. Step 3: Cross multiply
    8,382.86x = 11,568.02 × 4,657.10
  4. Step 4: Simplify right side
    8,382.86x = 53,873,425.94
  5. Step 5: Solve for x
    x = 53,873,425.94/8,382.86
  6. Step 6: Final answer
    x = 6,426.62

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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.