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Finding the Fourth Proportional to 10,739.93, 14,814.27 and 7,760.13

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Solution

The fourth proportional to 10,739.93, 14,814.27 and 7,760.13 is: 10,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.93 : 14,814.27 = 7,760.13 : x
  2. Step 2: Convert to fraction form
    10,739.93/14,814.27 = 7,760.13/x
  3. Step 3: Cross multiply
    10,739.93x = 14,814.27 × 7,760.13
  4. Step 4: Simplify right side
    10,739.93x = 114,960,661.06
  5. Step 5: Solve for x
    x = 114,960,661.06/10,739.93
  6. Step 6: Final answer
    x = 10,704.05

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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.