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Finding the Fourth Proportional to 8,378.04, 11,567.11 and 5,194.72

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Solution

The fourth proportional to 8,378.04, 11,567.11 and 5,194.72 is: 7,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.04 : 11,567.11 = 5,194.72 : x
  2. Step 2: Convert to fraction form
    8,378.04/11,567.11 = 5,194.72/x
  3. Step 3: Cross multiply
    8,378.04x = 11,567.11 × 5,194.72
  4. Step 4: Simplify right side
    8,378.04x = 60,087,813.85
  5. Step 5: Solve for x
    x = 60,087,813.85/8,378.04
  6. Step 6: Final answer
    x = 7,172.06

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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.