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Finding the Fourth Proportional to 10,348.46, 14,278.71 and 6,768.66

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Solution

The fourth proportional to 10,348.46, 14,278.71 and 6,768.66 is: 9,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.46 : 14,278.71 = 6,768.66 : x
  2. Step 2: Convert to fraction form
    10,348.46/14,278.71 = 6,768.66/x
  3. Step 3: Cross multiply
    10,348.46x = 14,278.71 × 6,768.66
  4. Step 4: Simplify right side
    10,348.46x = 96,647,733.23
  5. Step 5: Solve for x
    x = 96,647,733.23/10,348.46
  6. Step 6: Final answer
    x = 9,339.33

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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.