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Finding the Fourth Proportional to 4,711.83, 7,067.69 and 1,153.99

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Solution

The fourth proportional to 4,711.83, 7,067.69 and 1,153.99 is: 1,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,711.83 : 7,067.69 = 1,153.99 : x
  2. Step 2: Convert to fraction form
    4,711.83/7,067.69 = 1,153.99/x
  3. Step 3: Cross multiply
    4,711.83x = 7,067.69 × 1,153.99
  4. Step 4: Simplify right side
    4,711.83x = 8,156,002.47
  5. Step 5: Solve for x
    x = 8,156,002.47/4,711.83
  6. Step 6: Final answer
    x = 1,730.96

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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.