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Finding the Fourth Proportional to 7,864.39, 11,788.08 and 3,969.10

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Solution

The fourth proportional to 7,864.39, 11,788.08 and 3,969.10 is: 5,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.39 : 11,788.08 = 3,969.10 : x
  2. Step 2: Convert to fraction form
    7,864.39/11,788.08 = 3,969.10/x
  3. Step 3: Cross multiply
    7,864.39x = 11,788.08 × 3,969.10
  4. Step 4: Simplify right side
    7,864.39x = 46,788,068.33
  5. Step 5: Solve for x
    x = 46,788,068.33/7,864.39
  6. Step 6: Final answer
    x = 5,949.36

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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.