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Finding the Fourth Proportional to 7,247.94, 10,871.90 and 2,053.82

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Solution

The fourth proportional to 7,247.94, 10,871.90 and 2,053.82 is: 3,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.94 : 10,871.90 = 2,053.82 : x
  2. Step 2: Convert to fraction form
    7,247.94/10,871.90 = 2,053.82/x
  3. Step 3: Cross multiply
    7,247.94x = 10,871.90 × 2,053.82
  4. Step 4: Simplify right side
    7,247.94x = 22,328,925.66
  5. Step 5: Solve for x
    x = 22,328,925.66/7,247.94
  6. Step 6: Final answer
    x = 3,080.73

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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.