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Finding the Fourth Proportional to 10,542.94, 14,553.98 and 6,716.22

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Solution

The fourth proportional to 10,542.94, 14,553.98 and 6,716.22 is: 9,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.94 : 14,553.98 = 6,716.22 : x
  2. Step 2: Convert to fraction form
    10,542.94/14,553.98 = 6,716.22/x
  3. Step 3: Cross multiply
    10,542.94x = 14,553.98 × 6,716.22
  4. Step 4: Simplify right side
    10,542.94x = 97,747,731.56
  5. Step 5: Solve for x
    x = 97,747,731.56/10,542.94
  6. Step 6: Final answer
    x = 9,271.39

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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.