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Finding the Fourth Proportional to 8,615.45, 11,884.23 and 5,427.47

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Solution

The fourth proportional to 8,615.45, 11,884.23 and 5,427.47 is: 7,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615.45 : 11,884.23 = 5,427.47 : x
  2. Step 2: Convert to fraction form
    8,615.45/11,884.23 = 5,427.47/x
  3. Step 3: Cross multiply
    8,615.45x = 11,884.23 × 5,427.47
  4. Step 4: Simplify right side
    8,615.45x = 64,501,301.80
  5. Step 5: Solve for x
    x = 64,501,301.80/8,615.45
  6. Step 6: Final answer
    x = 7,486.70

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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.