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Finding the Fourth Proportional to 8,343.14, 11,511.72 and 5,319.42

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Solution

The fourth proportional to 8,343.14, 11,511.72 and 5,319.42 is: 7,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.14 : 11,511.72 = 5,319.42 : x
  2. Step 2: Convert to fraction form
    8,343.14/11,511.72 = 5,319.42/x
  3. Step 3: Cross multiply
    8,343.14x = 11,511.72 × 5,319.42
  4. Step 4: Simplify right side
    8,343.14x = 61,235,673.60
  5. Step 5: Solve for x
    x = 61,235,673.60/8,343.14
  6. Step 6: Final answer
    x = 7,339.64

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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.