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Finding the Fourth Proportional to 10,767.72, 14,838.26 and 8,252.66

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Solution

The fourth proportional to 10,767.72, 14,838.26 and 8,252.66 is: 11,372.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.72 : 14,838.26 = 8,252.66 : x
  2. Step 2: Convert to fraction form
    10,767.72/14,838.26 = 8,252.66/x
  3. Step 3: Cross multiply
    10,767.72x = 14,838.26 × 8,252.66
  4. Step 4: Simplify right side
    10,767.72x = 122,455,114.77
  5. Step 5: Solve for x
    x = 122,455,114.77/10,767.72
  6. Step 6: Final answer
    x = 11,372.43

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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.