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Finding the Fourth Proportional to 7,131.64, 9,841.98 and 3,987.83

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Solution

The fourth proportional to 7,131.64, 9,841.98 and 3,987.83 is: 5,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.64 : 9,841.98 = 3,987.83 : x
  2. Step 2: Convert to fraction form
    7,131.64/9,841.98 = 3,987.83/x
  3. Step 3: Cross multiply
    7,131.64x = 9,841.98 × 3,987.83
  4. Step 4: Simplify right side
    7,131.64x = 39,248,143.10
  5. Step 5: Solve for x
    x = 39,248,143.10/7,131.64
  6. Step 6: Final answer
    x = 5,503.38

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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.