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Finding the Fourth Proportional to 10,717.22, 14,786.06 and 6,738.63

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Solution

The fourth proportional to 10,717.22, 14,786.06 and 6,738.63 is: 9,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.22 : 14,786.06 = 6,738.63 : x
  2. Step 2: Convert to fraction form
    10,717.22/14,786.06 = 6,738.63/x
  3. Step 3: Cross multiply
    10,717.22x = 14,786.06 × 6,738.63
  4. Step 4: Simplify right side
    10,717.22x = 99,637,753.80
  5. Step 5: Solve for x
    x = 99,637,753.80/10,717.22
  6. Step 6: Final answer
    x = 9,296.98

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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.