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Finding the Fourth Proportional to 10,727.74, 16,089.05 and 3,708

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Solution

The fourth proportional to 10,727.74, 16,089.05 and 3,708 is: 5,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.74 : 16,089.05 = 3,708 : x
  2. Step 2: Convert to fraction form
    10,727.74/16,089.05 = 3,708/x
  3. Step 3: Cross multiply
    10,727.74x = 16,089.05 × 3,708
  4. Step 4: Simplify right side
    10,727.74x = 59,658,178.86
  5. Step 5: Solve for x
    x = 59,658,178.86/10,727.74
  6. Step 6: Final answer
    x = 5,561.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.