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Finding the Fourth Proportional to 8,124.46, 11,211.75 and 4,398.46

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Solution

The fourth proportional to 8,124.46, 11,211.75 and 4,398.46 is: 6,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.46 : 11,211.75 = 4,398.46 : x
  2. Step 2: Convert to fraction form
    8,124.46/11,211.75 = 4,398.46/x
  3. Step 3: Cross multiply
    8,124.46x = 11,211.75 × 4,398.46
  4. Step 4: Simplify right side
    8,124.46x = 49,314,433.91
  5. Step 5: Solve for x
    x = 49,314,433.91/8,124.46
  6. Step 6: Final answer
    x = 6,069.87

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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.