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Finding the Fourth Proportional to 7,934, 10,933.82 and 5,810.18

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Solution

The fourth proportional to 7,934, 10,933.82 and 5,810.18 is: 8,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934 : 10,933.82 = 5,810.18 : x
  2. Step 2: Convert to fraction form
    7,934/10,933.82 = 5,810.18/x
  3. Step 3: Cross multiply
    7,934x = 10,933.82 × 5,810.18
  4. Step 4: Simplify right side
    7,934x = 63,527,462.29
  5. Step 5: Solve for x
    x = 63,527,462.29/7,934
  6. Step 6: Final answer
    x = 8,006.99

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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.