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Finding the Fourth Proportional to 7,361.83, 10,159.28 and 4,338.71

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Solution

The fourth proportional to 7,361.83, 10,159.28 and 4,338.71 is: 5,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.83 : 10,159.28 = 4,338.71 : x
  2. Step 2: Convert to fraction form
    7,361.83/10,159.28 = 4,338.71/x
  3. Step 3: Cross multiply
    7,361.83x = 10,159.28 × 4,338.71
  4. Step 4: Simplify right side
    7,361.83x = 44,078,169.73
  5. Step 5: Solve for x
    x = 44,078,169.73/7,361.83
  6. Step 6: Final answer
    x = 5,987.39

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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.