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Finding the Fourth Proportional to 7,694.78, 10,619.81 and 4,711.35

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Solution

The fourth proportional to 7,694.78, 10,619.81 and 4,711.35 is: 6,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.78 : 10,619.81 = 4,711.35 : x
  2. Step 2: Convert to fraction form
    7,694.78/10,619.81 = 4,711.35/x
  3. Step 3: Cross multiply
    7,694.78x = 10,619.81 × 4,711.35
  4. Step 4: Simplify right side
    7,694.78x = 50,033,618.29
  5. Step 5: Solve for x
    x = 50,033,618.29/7,694.78
  6. Step 6: Final answer
    x = 6,502.28

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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.