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Finding the Fourth Proportional to 7,821.03, 11,732.31 and 2,274.42

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Solution

The fourth proportional to 7,821.03, 11,732.31 and 2,274.42 is: 3,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.03 : 11,732.31 = 2,274.42 : x
  2. Step 2: Convert to fraction form
    7,821.03/11,732.31 = 2,274.42/x
  3. Step 3: Cross multiply
    7,821.03x = 11,732.31 × 2,274.42
  4. Step 4: Simplify right side
    7,821.03x = 26,684,200.51
  5. Step 5: Solve for x
    x = 26,684,200.51/7,821.03
  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.