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Finding the Fourth Proportional to 7,838.16, 11,748.28 and 3,729.36

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Solution

The fourth proportional to 7,838.16, 11,748.28 and 3,729.36 is: 5,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.16 : 11,748.28 = 3,729.36 : x
  2. Step 2: Convert to fraction form
    7,838.16/11,748.28 = 3,729.36/x
  3. Step 3: Cross multiply
    7,838.16x = 11,748.28 × 3,729.36
  4. Step 4: Simplify right side
    7,838.16x = 43,813,565.50
  5. Step 5: Solve for x
    x = 43,813,565.50/7,838.16
  6. Step 6: Final answer
    x = 5,589.78

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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.