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Finding the Fourth Proportional to 6,895.38, 10,344.68 and 1,965.08

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Solution

The fourth proportional to 6,895.38, 10,344.68 and 1,965.08 is: 2,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.38 : 10,344.68 = 1,965.08 : x
  2. Step 2: Convert to fraction form
    6,895.38/10,344.68 = 1,965.08/x
  3. Step 3: Cross multiply
    6,895.38x = 10,344.68 × 1,965.08
  4. Step 4: Simplify right side
    6,895.38x = 20,328,123.77
  5. Step 5: Solve for x
    x = 20,328,123.77/6,895.38
  6. Step 6: Final answer
    x = 2,948.08

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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.