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Finding the Fourth Proportional to 7,547.70, 11,321.49 and 3,105.33

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Solution

The fourth proportional to 7,547.70, 11,321.49 and 3,105.33 is: 4,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.70 : 11,321.49 = 3,105.33 : x
  2. Step 2: Convert to fraction form
    7,547.70/11,321.49 = 3,105.33/x
  3. Step 3: Cross multiply
    7,547.70x = 11,321.49 × 3,105.33
  4. Step 4: Simplify right side
    7,547.70x = 35,156,962.54
  5. Step 5: Solve for x
    x = 35,156,962.54/7,547.70
  6. Step 6: Final answer
    x = 4,657.97

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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.