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Finding the Fourth Proportional to 11,466.65, 17,204.84 and 6,266.45

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Solution

The fourth proportional to 11,466.65, 17,204.84 and 6,266.45 is: 9,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.65 : 17,204.84 = 6,266.45 : x
  2. Step 2: Convert to fraction form
    11,466.65/17,204.84 = 6,266.45/x
  3. Step 3: Cross multiply
    11,466.65x = 17,204.84 × 6,266.45
  4. Step 4: Simplify right side
    11,466.65x = 107,813,152.26
  5. Step 5: Solve for x
    x = 107,813,152.26/11,466.65
  6. Step 6: Final answer
    x = 9,402.33

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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.