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Finding the Fourth Proportional to 8,557.91, 11,806.40 and 5,200.19

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Solution

The fourth proportional to 8,557.91, 11,806.40 and 5,200.19 is: 7,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557.91 : 11,806.40 = 5,200.19 : x
  2. Step 2: Convert to fraction form
    8,557.91/11,806.40 = 5,200.19/x
  3. Step 3: Cross multiply
    8,557.91x = 11,806.40 × 5,200.19
  4. Step 4: Simplify right side
    8,557.91x = 61,395,438.18
  5. Step 5: Solve for x
    x = 61,395,438.18/8,557.91
  6. Step 6: Final answer
    x = 7,174.12

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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.