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Finding the Fourth Proportional to 7,116.39, 9,820.04 and 4,131.27

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Solution

The fourth proportional to 7,116.39, 9,820.04 and 4,131.27 is: 5,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.39 : 9,820.04 = 4,131.27 : x
  2. Step 2: Convert to fraction form
    7,116.39/9,820.04 = 4,131.27/x
  3. Step 3: Cross multiply
    7,116.39x = 9,820.04 × 4,131.27
  4. Step 4: Simplify right side
    7,116.39x = 40,569,215.99
  5. Step 5: Solve for x
    x = 40,569,215.99/7,116.39
  6. Step 6: Final answer
    x = 5,700.81

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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.