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Finding the Fourth Proportional to 6,805.60, 10,212.74 and 2,910

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Solution

The fourth proportional to 6,805.60, 10,212.74 and 2,910 is: 4,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.60 : 10,212.74 = 2,910 : x
  2. Step 2: Convert to fraction form
    6,805.60/10,212.74 = 2,910/x
  3. Step 3: Cross multiply
    6,805.60x = 10,212.74 × 2,910
  4. Step 4: Simplify right side
    6,805.60x = 29,719,073.40
  5. Step 5: Solve for x
    x = 29,719,073.40/6,805.60
  6. Step 6: Final answer
    x = 4,366.86

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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.