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Finding the Fourth Proportional to 7,371.98, 11,099.52 and 6,500.09

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Solution

The fourth proportional to 7,371.98, 11,099.52 and 6,500.09 is: 9,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371.98 : 11,099.52 = 6,500.09 : x
  2. Step 2: Convert to fraction form
    7,371.98/11,099.52 = 6,500.09/x
  3. Step 3: Cross multiply
    7,371.98x = 11,099.52 × 6,500.09
  4. Step 4: Simplify right side
    7,371.98x = 72,147,823.46
  5. Step 5: Solve for x
    x = 72,147,823.46/7,371.98
  6. Step 6: Final answer
    x = 9,786.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.