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Finding the Fourth Proportional to 11,704.12, 16,151.94 and 6,987.52

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Solution

The fourth proportional to 11,704.12, 16,151.94 and 6,987.52 is: 9,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.12 : 16,151.94 = 6,987.52 : x
  2. Step 2: Convert to fraction form
    11,704.12/16,151.94 = 6,987.52/x
  3. Step 3: Cross multiply
    11,704.12x = 16,151.94 × 6,987.52
  4. Step 4: Simplify right side
    11,704.12x = 112,862,003.79
  5. Step 5: Solve for x
    x = 112,862,003.79/11,704.12
  6. Step 6: Final answer
    x = 9,642.93

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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.