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Finding the Fourth Proportional to 6,885.62, 10,315.15 and 4,114.51

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Solution

The fourth proportional to 6,885.62, 10,315.15 and 4,114.51 is: 6,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.62 : 10,315.15 = 4,114.51 : x
  2. Step 2: Convert to fraction form
    6,885.62/10,315.15 = 4,114.51/x
  3. Step 3: Cross multiply
    6,885.62x = 10,315.15 × 4,114.51
  4. Step 4: Simplify right side
    6,885.62x = 42,441,787.83
  5. Step 5: Solve for x
    x = 42,441,787.83/6,885.62
  6. Step 6: Final answer
    x = 6,163.83

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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.