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Finding the Fourth Proportional to 7,002.32, 9,662.69 and 4,018.07

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Solution

The fourth proportional to 7,002.32, 9,662.69 and 4,018.07 is: 5,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.32 : 9,662.69 = 4,018.07 : x
  2. Step 2: Convert to fraction form
    7,002.32/9,662.69 = 4,018.07/x
  3. Step 3: Cross multiply
    7,002.32x = 9,662.69 × 4,018.07
  4. Step 4: Simplify right side
    7,002.32x = 38,825,399.01
  5. Step 5: Solve for x
    x = 38,825,399.01/7,002.32
  6. Step 6: Final answer
    x = 5,544.65

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Why These Related Problems?

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