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Finding the Fourth Proportional to 8,566.14, 11,817.94 and 5,378.08

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Solution

The fourth proportional to 8,566.14, 11,817.94 and 5,378.08 is: 7,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,566.14 : 11,817.94 = 5,378.08 : x
  2. Step 2: Convert to fraction form
    8,566.14/11,817.94 = 5,378.08/x
  3. Step 3: Cross multiply
    8,566.14x = 11,817.94 × 5,378.08
  4. Step 4: Simplify right side
    8,566.14x = 63,557,826.76
  5. Step 5: Solve for x
    x = 63,557,826.76/8,566.14
  6. Step 6: Final answer
    x = 7,419.66

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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.