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Finding the Fourth Proportional to 8,130.96, 11,220 and 4,593.48

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Solution

The fourth proportional to 8,130.96, 11,220 and 4,593.48 is: 6,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.96 : 11,220 = 4,593.48 : x
  2. Step 2: Convert to fraction form
    8,130.96/11,220 = 4,593.48/x
  3. Step 3: Cross multiply
    8,130.96x = 11,220 × 4,593.48
  4. Step 4: Simplify right side
    8,130.96x = 51,538,845.60
  5. Step 5: Solve for x
    x = 51,538,845.60/8,130.96
  6. Step 6: Final answer
    x = 6,338.59

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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.