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Finding the Fourth Proportional to 7,113.35, 10,671.11 and 3,414.89

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Solution

The fourth proportional to 7,113.35, 10,671.11 and 3,414.89 is: 5,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.35 : 10,671.11 = 3,414.89 : x
  2. Step 2: Convert to fraction form
    7,113.35/10,671.11 = 3,414.89/x
  3. Step 3: Cross multiply
    7,113.35x = 10,671.11 × 3,414.89
  4. Step 4: Simplify right side
    7,113.35x = 36,440,666.83
  5. Step 5: Solve for x
    x = 36,440,666.83/7,113.35
  6. Step 6: Final answer
    x = 5,122.86

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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.