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Finding the Fourth Proportional to 10,434, 14,398.92 and 5,718.30

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Solution

The fourth proportional to 10,434, 14,398.92 and 5,718.30 is: 7,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434 : 14,398.92 = 5,718.30 : x
  2. Step 2: Convert to fraction form
    10,434/14,398.92 = 5,718.30/x
  3. Step 3: Cross multiply
    10,434x = 14,398.92 × 5,718.30
  4. Step 4: Simplify right side
    10,434x = 82,337,344.24
  5. Step 5: Solve for x
    x = 82,337,344.24/10,434
  6. Step 6: Final answer
    x = 7,891.25

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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.