Home / 7,821.02-11,732.30-2,274.42

Finding the Fourth Proportional to 7,821.02, 11,732.30 and 2,274.42

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Solution

The fourth proportional to 7,821.02, 11,732.30 and 2,274.42 is: 3,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.02 : 11,732.30 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    7,821.02/11,732.30 = 2,274.42/x
  3. Step 3: Cross multiply
    7,821.02x = 11,732.30 × 2,274.42
  4. Step 4: Simplify right side
    7,821.02x = 26,684,177.77
  5. Step 5: Solve for x
    x = 26,684,177.77/7,821.02
  6. Step 6: Final answer
    x = 3,411.85

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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.