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Finding the Fourth Proportional to 8,290.94, 12,436.41 and 5,685.98

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Solution

The fourth proportional to 8,290.94, 12,436.41 and 5,685.98 is: 8,528.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.94 : 12,436.41 = 5,685.98 : x
  2. Step 2: Convert to fraction form
    8,290.94/12,436.41 = 5,685.98/x
  3. Step 3: Cross multiply
    8,290.94x = 12,436.41 × 5,685.98
  4. Step 4: Simplify right side
    8,290.94x = 70,713,178.53
  5. Step 5: Solve for x
    x = 70,713,178.53/8,290.94
  6. Step 6: Final answer
    x = 8,528.97

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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.