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Finding the Fourth Proportional to 7,838, 10,816.44 and 4,526

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Solution

The fourth proportional to 7,838, 10,816.44 and 4,526 is: 6,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838 : 10,816.44 = 4,526 : x
  2. Step 2: Convert to fraction form
    7,838/10,816.44 = 4,526/x
  3. Step 3: Cross multiply
    7,838x = 10,816.44 × 4,526
  4. Step 4: Simplify right side
    7,838x = 48,955,207.44
  5. Step 5: Solve for x
    x = 48,955,207.44/7,838
  6. Step 6: Final answer
    x = 6,245.88

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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.