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Finding the Fourth Proportional to 7,165.17, 9,900.77 and 5,605.11

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Solution

The fourth proportional to 7,165.17, 9,900.77 and 5,605.11 is: 7,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.17 : 9,900.77 = 5,605.11 : x
  2. Step 2: Convert to fraction form
    7,165.17/9,900.77 = 5,605.11/x
  3. Step 3: Cross multiply
    7,165.17x = 9,900.77 × 5,605.11
  4. Step 4: Simplify right side
    7,165.17x = 55,494,876.91
  5. Step 5: Solve for x
    x = 55,494,876.91/7,165.17
  6. Step 6: Final answer
    x = 7,745.09

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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.