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Finding the Fourth Proportional to 7,364.63, 10,162 and 4,380.37

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Solution

The fourth proportional to 7,364.63, 10,162 and 4,380.37 is: 6,044.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.63 : 10,162 = 4,380.37 : x
  2. Step 2: Convert to fraction form
    7,364.63/10,162 = 4,380.37/x
  3. Step 3: Cross multiply
    7,364.63x = 10,162 × 4,380.37
  4. Step 4: Simplify right side
    7,364.63x = 44,513,319.94
  5. Step 5: Solve for x
    x = 44,513,319.94/7,364.63
  6. Step 6: Final answer
    x = 6,044.20

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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.