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Finding the Fourth Proportional to 10,008.69, 13,813.02 and 5,759.91

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Solution

The fourth proportional to 10,008.69, 13,813.02 and 5,759.91 is: 7,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.69 : 13,813.02 = 5,759.91 : x
  2. Step 2: Convert to fraction form
    10,008.69/13,813.02 = 5,759.91/x
  3. Step 3: Cross multiply
    10,008.69x = 13,813.02 × 5,759.91
  4. Step 4: Simplify right side
    10,008.69x = 79,561,752.03
  5. Step 5: Solve for x
    x = 79,561,752.03/10,008.69
  6. Step 6: Final answer
    x = 7,949.27

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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.