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Finding the Fourth Proportional to 10,079.09, 13,910.09 and 5,604.24

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Solution

The fourth proportional to 10,079.09, 13,910.09 and 5,604.24 is: 7,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.09 : 13,910.09 = 5,604.24 : x
  2. Step 2: Convert to fraction form
    10,079.09/13,910.09 = 5,604.24/x
  3. Step 3: Cross multiply
    10,079.09x = 13,910.09 × 5,604.24
  4. Step 4: Simplify right side
    10,079.09x = 77,955,482.78
  5. Step 5: Solve for x
    x = 77,955,482.78/10,079.09
  6. Step 6: Final answer
    x = 7,734.38

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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.