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Finding the Fourth Proportional to 11,466.77, 17,205.02 and 6,266.57

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Solution

The fourth proportional to 11,466.77, 17,205.02 and 6,266.57 is: 9,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.77 : 17,205.02 = 6,266.57 : x
  2. Step 2: Convert to fraction form
    11,466.77/17,205.02 = 6,266.57/x
  3. Step 3: Cross multiply
    11,466.77x = 17,205.02 × 6,266.57
  4. Step 4: Simplify right side
    11,466.77x = 107,816,462.18
  5. Step 5: Solve for x
    x = 107,816,462.18/11,466.77
  6. Step 6: Final answer
    x = 9,402.51

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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.