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Finding the Fourth Proportional to 10,073.05, 13,898.29 and 6,040.51

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Solution

The fourth proportional to 10,073.05, 13,898.29 and 6,040.51 is: 8,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.05 : 13,898.29 = 6,040.51 : x
  2. Step 2: Convert to fraction form
    10,073.05/13,898.29 = 6,040.51/x
  3. Step 3: Cross multiply
    10,073.05x = 13,898.29 × 6,040.51
  4. Step 4: Simplify right side
    10,073.05x = 83,952,759.73
  5. Step 5: Solve for x
    x = 83,952,759.73/10,073.05
  6. Step 6: Final answer
    x = 8,334.39

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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.