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Finding the Fourth Proportional to 11,543.81, 17,315.71 and 2,778.72

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Solution

The fourth proportional to 11,543.81, 17,315.71 and 2,778.72 is: 4,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.81 : 17,315.71 = 2,778.72 : x
  2. Step 2: Convert to fraction form
    11,543.81/17,315.71 = 2,778.72/x
  3. Step 3: Cross multiply
    11,543.81x = 17,315.71 × 2,778.72
  4. Step 4: Simplify right side
    11,543.81x = 48,115,546.93
  5. Step 5: Solve for x
    x = 48,115,546.93/11,543.81
  6. Step 6: Final answer
    x = 4,168.08

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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.