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Finding the Fourth Proportional to 7,344.91, 10,998.42 and 4,871.98

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Solution

The fourth proportional to 7,344.91, 10,998.42 and 4,871.98 is: 7,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344.91 : 10,998.42 = 4,871.98 : x
  2. Step 2: Convert to fraction form
    7,344.91/10,998.42 = 4,871.98/x
  3. Step 3: Cross multiply
    7,344.91x = 10,998.42 × 4,871.98
  4. Step 4: Simplify right side
    7,344.91x = 53,584,082.27
  5. Step 5: Solve for x
    x = 53,584,082.27/7,344.91
  6. Step 6: Final answer
    x = 7,295.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.