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Finding the Fourth Proportional to 8,539.74, 12,817.53 and 4,382.82

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Solution

The fourth proportional to 8,539.74, 12,817.53 and 4,382.82 is: 6,578.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.74 : 12,817.53 = 4,382.82 : x
  2. Step 2: Convert to fraction form
    8,539.74/12,817.53 = 4,382.82/x
  3. Step 3: Cross multiply
    8,539.74x = 12,817.53 × 4,382.82
  4. Step 4: Simplify right side
    8,539.74x = 56,176,926.83
  5. Step 5: Solve for x
    x = 56,176,926.83/8,539.74
  6. Step 6: Final answer
    x = 6,578.29

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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.