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Finding the Fourth Proportional to 6,906.18, 10,360 and 2,524.58

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Solution

The fourth proportional to 6,906.18, 10,360 and 2,524.58 is: 3,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.18 : 10,360 = 2,524.58 : x
  2. Step 2: Convert to fraction form
    6,906.18/10,360 = 2,524.58/x
  3. Step 3: Cross multiply
    6,906.18x = 10,360 × 2,524.58
  4. Step 4: Simplify right side
    6,906.18x = 26,154,648.80
  5. Step 5: Solve for x
    x = 26,154,648.80/6,906.18
  6. Step 6: Final answer
    x = 3,787.14

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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.