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Finding the Fourth Proportional to 6,881.10, 10,318 and 3,180.14

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Solution

The fourth proportional to 6,881.10, 10,318 and 3,180.14 is: 4,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.10 : 10,318 = 3,180.14 : x
  2. Step 2: Convert to fraction form
    6,881.10/10,318 = 3,180.14/x
  3. Step 3: Cross multiply
    6,881.10x = 10,318 × 3,180.14
  4. Step 4: Simplify right side
    6,881.10x = 32,812,684.52
  5. Step 5: Solve for x
    x = 32,812,684.52/6,881.10
  6. Step 6: Final answer
    x = 4,768.52

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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.