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Finding the Fourth Proportional to 8,174.11, 11,260.83 and 7,683.58

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Solution

The fourth proportional to 8,174.11, 11,260.83 and 7,683.58 is: 10,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.11 : 11,260.83 = 7,683.58 : x
  2. Step 2: Convert to fraction form
    8,174.11/11,260.83 = 7,683.58/x
  3. Step 3: Cross multiply
    8,174.11x = 11,260.83 × 7,683.58
  4. Step 4: Simplify right side
    8,174.11x = 86,523,488.17
  5. Step 5: Solve for x
    x = 86,523,488.17/8,174.11
  6. Step 6: Final answer
    x = 10,585.07

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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.