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Finding the Fourth Proportional to 10,593.05, 14,618.04 and 6,816.38

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Solution

The fourth proportional to 10,593.05, 14,618.04 and 6,816.38 is: 9,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.05 : 14,618.04 = 6,816.38 : x
  2. Step 2: Convert to fraction form
    10,593.05/14,618.04 = 6,816.38/x
  3. Step 3: Cross multiply
    10,593.05x = 14,618.04 × 6,816.38
  4. Step 4: Simplify right side
    10,593.05x = 99,642,115.47
  5. Step 5: Solve for x
    x = 99,642,115.47/10,593.05
  6. Step 6: Final answer
    x = 9,406.36

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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.