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Finding the Fourth Proportional to 7,103.25, 10,643.76 and 2,718.27

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Solution

The fourth proportional to 7,103.25, 10,643.76 and 2,718.27 is: 4,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.25 : 10,643.76 = 2,718.27 : x
  2. Step 2: Convert to fraction form
    7,103.25/10,643.76 = 2,718.27/x
  3. Step 3: Cross multiply
    7,103.25x = 10,643.76 × 2,718.27
  4. Step 4: Simplify right side
    7,103.25x = 28,932,613.50
  5. Step 5: Solve for x
    x = 28,932,613.50/7,103.25
  6. Step 6: Final answer
    x = 4,073.15

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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.