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Finding the Fourth Proportional to 7,162.78, 9,884.61 and 4,018.90

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Solution

The fourth proportional to 7,162.78, 9,884.61 and 4,018.90 is: 5,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.78 : 9,884.61 = 4,018.90 : x
  2. Step 2: Convert to fraction form
    7,162.78/9,884.61 = 4,018.90/x
  3. Step 3: Cross multiply
    7,162.78x = 9,884.61 × 4,018.90
  4. Step 4: Simplify right side
    7,162.78x = 39,725,259.13
  5. Step 5: Solve for x
    x = 39,725,259.13/7,162.78
  6. Step 6: Final answer
    x = 5,546.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.