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Finding the Fourth Proportional to 7,158.26, 9,877.74 and 4,013.84

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Solution

The fourth proportional to 7,158.26, 9,877.74 and 4,013.84 is: 5,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.26 : 9,877.74 = 4,013.84 : x
  2. Step 2: Convert to fraction form
    7,158.26/9,877.74 = 4,013.84/x
  3. Step 3: Cross multiply
    7,158.26x = 9,877.74 × 4,013.84
  4. Step 4: Simplify right side
    7,158.26x = 39,647,667.92
  5. Step 5: Solve for x
    x = 39,647,667.92/7,158.26
  6. Step 6: Final answer
    x = 5,538.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.