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Finding the Fourth Proportional to 7,804.38, 11,706.58 and 3,187.38

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Solution

The fourth proportional to 7,804.38, 11,706.58 and 3,187.38 is: 4,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.38 : 11,706.58 = 3,187.38 : x
  2. Step 2: Convert to fraction form
    7,804.38/11,706.58 = 3,187.38/x
  3. Step 3: Cross multiply
    7,804.38x = 11,706.58 × 3,187.38
  4. Step 4: Simplify right side
    7,804.38x = 37,313,244.49
  5. Step 5: Solve for x
    x = 37,313,244.49/7,804.38
  6. Step 6: Final answer
    x = 4,781.07

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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.