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Finding the Fourth Proportional to 8,144.94, 11,239.07 and 4,560.10

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Solution

The fourth proportional to 8,144.94, 11,239.07 and 4,560.10 is: 6,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.94 : 11,239.07 = 4,560.10 : x
  2. Step 2: Convert to fraction form
    8,144.94/11,239.07 = 4,560.10/x
  3. Step 3: Cross multiply
    8,144.94x = 11,239.07 × 4,560.10
  4. Step 4: Simplify right side
    8,144.94x = 51,251,283.11
  5. Step 5: Solve for x
    x = 51,251,283.11/8,144.94
  6. Step 6: Final answer
    x = 6,292.41

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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.