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Finding the Fourth Proportional to 8,543.07, 12,814.61 and 2,703.78

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Solution

The fourth proportional to 8,543.07, 12,814.61 and 2,703.78 is: 4,055.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.07 : 12,814.61 = 2,703.78 : x
  2. Step 2: Convert to fraction form
    8,543.07/12,814.61 = 2,703.78/x
  3. Step 3: Cross multiply
    8,543.07x = 12,814.61 × 2,703.78
  4. Step 4: Simplify right side
    8,543.07x = 34,647,872.71
  5. Step 5: Solve for x
    x = 34,647,872.71/8,543.07
  6. Step 6: Final answer
    x = 4,055.67

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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.