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Finding the Fourth Proportional to 10,718.44, 14,791.44 and 6,002.82

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Solution

The fourth proportional to 10,718.44, 14,791.44 and 6,002.82 is: 8,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,718.44 : 14,791.44 = 6,002.82 : x
  2. Step 2: Convert to fraction form
    10,718.44/14,791.44 = 6,002.82/x
  3. Step 3: Cross multiply
    10,718.44x = 14,791.44 × 6,002.82
  4. Step 4: Simplify right side
    10,718.44x = 88,790,374.37
  5. Step 5: Solve for x
    x = 88,790,374.37/10,718.44
  6. Step 6: Final answer
    x = 8,283.89

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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.