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Finding the Fourth Proportional to 8,214.46, 12,318.05 and 5,094.34

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Solution

The fourth proportional to 8,214.46, 12,318.05 and 5,094.34 is: 7,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.46 : 12,318.05 = 5,094.34 : x
  2. Step 2: Convert to fraction form
    8,214.46/12,318.05 = 5,094.34/x
  3. Step 3: Cross multiply
    8,214.46x = 12,318.05 × 5,094.34
  4. Step 4: Simplify right side
    8,214.46x = 62,752,371.74
  5. Step 5: Solve for x
    x = 62,752,371.74/8,214.46
  6. Step 6: Final answer
    x = 7,639.25

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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.