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Finding the Fourth Proportional to 7,164.07, 9,886.38 and 3,977.83

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Solution

The fourth proportional to 7,164.07, 9,886.38 and 3,977.83 is: 5,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.07 : 9,886.38 = 3,977.83 : x
  2. Step 2: Convert to fraction form
    7,164.07/9,886.38 = 3,977.83/x
  3. Step 3: Cross multiply
    7,164.07x = 9,886.38 × 3,977.83
  4. Step 4: Simplify right side
    7,164.07x = 39,326,338.96
  5. Step 5: Solve for x
    x = 39,326,338.96/7,164.07
  6. Step 6: Final answer
    x = 5,489.39

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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.