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Finding the Fourth Proportional to 10,717.72, 14,790.78 and 6,002.20

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Solution

The fourth proportional to 10,717.72, 14,790.78 and 6,002.20 is: 8,283.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.72 : 14,790.78 = 6,002.20 : x
  2. Step 2: Convert to fraction form
    10,717.72/14,790.78 = 6,002.20/x
  3. Step 3: Cross multiply
    10,717.72x = 14,790.78 × 6,002.20
  4. Step 4: Simplify right side
    10,717.72x = 88,777,219.72
  5. Step 5: Solve for x
    x = 88,777,219.72/10,717.72
  6. Step 6: Final answer
    x = 8,283.22

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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.