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Finding the Fourth Proportional to 7,438, 10,264.44 and 4,126

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Solution

The fourth proportional to 7,438, 10,264.44 and 4,126 is: 5,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,438 : 10,264.44 = 4,126 : x
  2. Step 2: Convert to fraction form
    7,438/10,264.44 = 4,126/x
  3. Step 3: Cross multiply
    7,438x = 10,264.44 × 4,126
  4. Step 4: Simplify right side
    7,438x = 42,351,079.44
  5. Step 5: Solve for x
    x = 42,351,079.44/7,438
  6. Step 6: Final answer
    x = 5,693.88

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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.