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Finding the Fourth Proportional to 8,324.01, 11,488.14 and 5,338.75

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Solution

The fourth proportional to 8,324.01, 11,488.14 and 5,338.75 is: 7,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.01 : 11,488.14 = 5,338.75 : x
  2. Step 2: Convert to fraction form
    8,324.01/11,488.14 = 5,338.75/x
  3. Step 3: Cross multiply
    8,324.01x = 11,488.14 × 5,338.75
  4. Step 4: Simplify right side
    8,324.01x = 61,332,307.43
  5. Step 5: Solve for x
    x = 61,332,307.43/8,324.01
  6. Step 6: Final answer
    x = 7,368.12

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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.