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Finding the Fourth Proportional to 8,282.50, 11,434.08 and 6,389.83

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Solution

The fourth proportional to 8,282.50, 11,434.08 and 6,389.83 is: 8,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.50 : 11,434.08 = 6,389.83 : x
  2. Step 2: Convert to fraction form
    8,282.50/11,434.08 = 6,389.83/x
  3. Step 3: Cross multiply
    8,282.50x = 11,434.08 × 6,389.83
  4. Step 4: Simplify right side
    8,282.50x = 73,061,827.41
  5. Step 5: Solve for x
    x = 73,061,827.41/8,282.50
  6. Step 6: Final answer
    x = 8,821.23

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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.