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Finding the Fourth Proportional to 7,002.68, 9,662.82 and 4,018.10

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Solution

The fourth proportional to 7,002.68, 9,662.82 and 4,018.10 is: 5,544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.68 : 9,662.82 = 4,018.10 : x
  2. Step 2: Convert to fraction form
    7,002.68/9,662.82 = 4,018.10/x
  3. Step 3: Cross multiply
    7,002.68x = 9,662.82 × 4,018.10
  4. Step 4: Simplify right side
    7,002.68x = 38,826,177.04
  5. Step 5: Solve for x
    x = 38,826,177.04/7,002.68
  6. Step 6: Final answer
    x = 5,544.47

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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.