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Finding the Fourth Proportional to 8,339.34, 11,513.28 and 5,199.78

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Solution

The fourth proportional to 8,339.34, 11,513.28 and 5,199.78 is: 7,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.34 : 11,513.28 = 5,199.78 : x
  2. Step 2: Convert to fraction form
    8,339.34/11,513.28 = 5,199.78/x
  3. Step 3: Cross multiply
    8,339.34x = 11,513.28 × 5,199.78
  4. Step 4: Simplify right side
    8,339.34x = 59,866,523.08
  5. Step 5: Solve for x
    x = 59,866,523.08/8,339.34
  6. Step 6: Final answer
    x = 7,178.81

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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.