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Finding the Fourth Proportional to 6,616.26, 9,904.95 and 5,219.82

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Solution

The fourth proportional to 6,616.26, 9,904.95 and 5,219.82 is: 7,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.26 : 9,904.95 = 5,219.82 : x
  2. Step 2: Convert to fraction form
    6,616.26/9,904.95 = 5,219.82/x
  3. Step 3: Cross multiply
    6,616.26x = 9,904.95 × 5,219.82
  4. Step 4: Simplify right side
    6,616.26x = 51,702,056.11
  5. Step 5: Solve for x
    x = 51,702,056.11/6,616.26
  6. Step 6: Final answer
    x = 7,814.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.