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Finding the Fourth Proportional to 10,095.88, 13,933.62 and 5,790.65

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Solution

The fourth proportional to 10,095.88, 13,933.62 and 5,790.65 is: 7,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.88 : 13,933.62 = 5,790.65 : x
  2. Step 2: Convert to fraction form
    10,095.88/13,933.62 = 5,790.65/x
  3. Step 3: Cross multiply
    10,095.88x = 13,933.62 × 5,790.65
  4. Step 4: Simplify right side
    10,095.88x = 80,684,769.38
  5. Step 5: Solve for x
    x = 80,684,769.38/10,095.88
  6. Step 6: Final answer
    x = 7,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.