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Finding the Fourth Proportional to 12,266.57, 16,927.82 and 6,888.26

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Solution

The fourth proportional to 12,266.57, 16,927.82 and 6,888.26 is: 9,505.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.57 : 16,927.82 = 6,888.26 : x
  2. Step 2: Convert to fraction form
    12,266.57/16,927.82 = 6,888.26/x
  3. Step 3: Cross multiply
    12,266.57x = 16,927.82 × 6,888.26
  4. Step 4: Simplify right side
    12,266.57x = 116,603,242.61
  5. Step 5: Solve for x
    x = 116,603,242.61/12,266.57
  6. Step 6: Final answer
    x = 9,505.77

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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.