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Finding the Fourth Proportional to 7,002.12, 9,663.84 and 4,017.36

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Solution

The fourth proportional to 7,002.12, 9,663.84 and 4,017.36 is: 5,544.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.12 : 9,663.84 = 4,017.36 : x
  2. Step 2: Convert to fraction form
    7,002.12/9,663.84 = 4,017.36/x
  3. Step 3: Cross multiply
    7,002.12x = 9,663.84 × 4,017.36
  4. Step 4: Simplify right side
    7,002.12x = 38,823,124.26
  5. Step 5: Solve for x
    x = 38,823,124.26/7,002.12
  6. Step 6: Final answer
    x = 5,544.48

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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.