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Finding the Fourth Proportional to 8,282.56, 11,434.16 and 6,389.89

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Solution

The fourth proportional to 8,282.56, 11,434.16 and 6,389.89 is: 8,821.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.56 : 11,434.16 = 6,389.89 : x
  2. Step 2: Convert to fraction form
    8,282.56/11,434.16 = 6,389.89/x
  3. Step 3: Cross multiply
    8,282.56x = 11,434.16 × 6,389.89
  4. Step 4: Simplify right side
    8,282.56x = 73,063,024.64
  5. Step 5: Solve for x
    x = 73,063,024.64/8,282.56
  6. Step 6: Final answer
    x = 8,821.31

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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.