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Finding the Fourth Proportional to 7,002.66, 9,665.08 and 4,020.52

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Solution

The fourth proportional to 7,002.66, 9,665.08 and 4,020.52 is: 5,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.66 : 9,665.08 = 4,020.52 : x
  2. Step 2: Convert to fraction form
    7,002.66/9,665.08 = 4,020.52/x
  3. Step 3: Cross multiply
    7,002.66x = 9,665.08 × 4,020.52
  4. Step 4: Simplify right side
    7,002.66x = 38,858,647.44
  5. Step 5: Solve for x
    x = 38,858,647.44/7,002.66
  6. Step 6: Final answer
    x = 5,549.13

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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.