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Finding the Fourth Proportional to 8,034.34, 11,087.18 and 4,678.31

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Solution

The fourth proportional to 8,034.34, 11,087.18 and 4,678.31 is: 6,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.34 : 11,087.18 = 4,678.31 : x
  2. Step 2: Convert to fraction form
    8,034.34/11,087.18 = 4,678.31/x
  3. Step 3: Cross multiply
    8,034.34x = 11,087.18 × 4,678.31
  4. Step 4: Simplify right side
    8,034.34x = 51,869,224.57
  5. Step 5: Solve for x
    x = 51,869,224.57/8,034.34
  6. Step 6: Final answer
    x = 6,455.94

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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.