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Finding the Fourth Proportional to 7,049.77, 10,574.61 and 5,731.93

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Solution

The fourth proportional to 7,049.77, 10,574.61 and 5,731.93 is: 8,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.77 : 10,574.61 = 5,731.93 : x
  2. Step 2: Convert to fraction form
    7,049.77/10,574.61 = 5,731.93/x
  3. Step 3: Cross multiply
    7,049.77x = 10,574.61 × 5,731.93
  4. Step 4: Simplify right side
    7,049.77x = 60,612,924.30
  5. Step 5: Solve for x
    x = 60,612,924.30/7,049.77
  6. Step 6: Final answer
    x = 8,597.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.