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Finding the Fourth Proportional to 7,838.04, 11,754.54 and 4,138.14

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Solution

The fourth proportional to 7,838.04, 11,754.54 and 4,138.14 is: 6,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.04 : 11,754.54 = 4,138.14 : x
  2. Step 2: Convert to fraction form
    7,838.04/11,754.54 = 4,138.14/x
  3. Step 3: Cross multiply
    7,838.04x = 11,754.54 × 4,138.14
  4. Step 4: Simplify right side
    7,838.04x = 48,641,932.16
  5. Step 5: Solve for x
    x = 48,641,932.16/7,838.04
  6. Step 6: Final answer
    x = 6,205.88

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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.