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Finding the Fourth Proportional to 7,163.10, 9,880.38 and 5,484.78

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Solution

The fourth proportional to 7,163.10, 9,880.38 and 5,484.78 is: 7,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.10 : 9,880.38 = 5,484.78 : x
  2. Step 2: Convert to fraction form
    7,163.10/9,880.38 = 5,484.78/x
  3. Step 3: Cross multiply
    7,163.10x = 9,880.38 × 5,484.78
  4. Step 4: Simplify right side
    7,163.10x = 54,191,710.62
  5. Step 5: Solve for x
    x = 54,191,710.62/7,163.10
  6. Step 6: Final answer
    x = 7,565.40

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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.