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Finding the Fourth Proportional to 7,002.42, 9,663.72 and 4,018.23

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Solution

The fourth proportional to 7,002.42, 9,663.72 and 4,018.23 is: 5,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.42 : 9,663.72 = 4,018.23 : x
  2. Step 2: Convert to fraction form
    7,002.42/9,663.72 = 4,018.23/x
  3. Step 3: Cross multiply
    7,002.42x = 9,663.72 × 4,018.23
  4. Step 4: Simplify right side
    7,002.42x = 38,831,049.62
  5. Step 5: Solve for x
    x = 38,831,049.62/7,002.42
  6. Step 6: Final answer
    x = 5,545.38

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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.