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Finding the Fourth Proportional to 10,755.50, 14,820.71 and 8,237.61

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Solution

The fourth proportional to 10,755.50, 14,820.71 and 8,237.61 is: 11,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.50 : 14,820.71 = 8,237.61 : x
  2. Step 2: Convert to fraction form
    10,755.50/14,820.71 = 8,237.61/x
  3. Step 3: Cross multiply
    10,755.50x = 14,820.71 × 8,237.61
  4. Step 4: Simplify right side
    10,755.50x = 122,087,187.72
  5. Step 5: Solve for x
    x = 122,087,187.72/10,755.50
  6. Step 6: Final answer
    x = 11,351.15

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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.