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Finding the Fourth Proportional to 10,717.59, 14,786.57 and 6,739.01

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Solution

The fourth proportional to 10,717.59, 14,786.57 and 6,739.01 is: 9,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.59 : 14,786.57 = 6,739.01 : x
  2. Step 2: Convert to fraction form
    10,717.59/14,786.57 = 6,739.01/x
  3. Step 3: Cross multiply
    10,717.59x = 14,786.57 × 6,739.01
  4. Step 4: Simplify right side
    10,717.59x = 99,646,786.01
  5. Step 5: Solve for x
    x = 99,646,786.01/10,717.59
  6. Step 6: Final answer
    x = 9,297.50

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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.