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Finding the Fourth Proportional to 10,418.15, 14,371.68 and 7,059.82

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Solution

The fourth proportional to 10,418.15, 14,371.68 and 7,059.82 is: 9,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.15 : 14,371.68 = 7,059.82 : x
  2. Step 2: Convert to fraction form
    10,418.15/14,371.68 = 7,059.82/x
  3. Step 3: Cross multiply
    10,418.15x = 14,371.68 × 7,059.82
  4. Step 4: Simplify right side
    10,418.15x = 101,461,473.90
  5. Step 5: Solve for x
    x = 101,461,473.90/10,418.15
  6. Step 6: Final answer
    x = 9,738.91

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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.