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Finding the Fourth Proportional to 10,868.34, 16,304.22 and 4,294.56

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Solution

The fourth proportional to 10,868.34, 16,304.22 and 4,294.56 is: 6,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.34 : 16,304.22 = 4,294.56 : x
  2. Step 2: Convert to fraction form
    10,868.34/16,304.22 = 4,294.56/x
  3. Step 3: Cross multiply
    10,868.34x = 16,304.22 × 4,294.56
  4. Step 4: Simplify right side
    10,868.34x = 70,019,451.04
  5. Step 5: Solve for x
    x = 70,019,451.04/10,868.34
  6. Step 6: Final answer
    x = 6,442.52

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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.