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Finding the Fourth Proportional to 10,046.28, 13,865.38 and 5,798.10

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Solution

The fourth proportional to 10,046.28, 13,865.38 and 5,798.10 is: 8,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.28 : 13,865.38 = 5,798.10 : x
  2. Step 2: Convert to fraction form
    10,046.28/13,865.38 = 5,798.10/x
  3. Step 3: Cross multiply
    10,046.28x = 13,865.38 × 5,798.10
  4. Step 4: Simplify right side
    10,046.28x = 80,392,859.78
  5. Step 5: Solve for x
    x = 80,392,859.78/10,046.28
  6. Step 6: Final answer
    x = 8,002.25

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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.