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Finding the Fourth Proportional to 10,308.83, 15,469.18 and 6,158.93

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Solution

The fourth proportional to 10,308.83, 15,469.18 and 6,158.93 is: 9,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.83 : 15,469.18 = 6,158.93 : x
  2. Step 2: Convert to fraction form
    10,308.83/15,469.18 = 6,158.93/x
  3. Step 3: Cross multiply
    10,308.83x = 15,469.18 × 6,158.93
  4. Step 4: Simplify right side
    10,308.83x = 95,273,504.03
  5. Step 5: Solve for x
    x = 95,273,504.03/10,308.83
  6. Step 6: Final answer
    x = 9,241.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.