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Finding the Fourth Proportional to 10,575.16, 14,593.70 and 5,795.22

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Solution

The fourth proportional to 10,575.16, 14,593.70 and 5,795.22 is: 7,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.16 : 14,593.70 = 5,795.22 : x
  2. Step 2: Convert to fraction form
    10,575.16/14,593.70 = 5,795.22/x
  3. Step 3: Cross multiply
    10,575.16x = 14,593.70 × 5,795.22
  4. Step 4: Simplify right side
    10,575.16x = 84,573,629.15
  5. Step 5: Solve for x
    x = 84,573,629.15/10,575.16
  6. Step 6: Final answer
    x = 7,997.39

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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.