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Finding the Fourth Proportional to 8,564.48, 11,820.13 and 5,027.70

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Solution

The fourth proportional to 8,564.48, 11,820.13 and 5,027.70 is: 6,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.48 : 11,820.13 = 5,027.70 : x
  2. Step 2: Convert to fraction form
    8,564.48/11,820.13 = 5,027.70/x
  3. Step 3: Cross multiply
    8,564.48x = 11,820.13 × 5,027.70
  4. Step 4: Simplify right side
    8,564.48x = 59,427,999.62
  5. Step 5: Solve for x
    x = 59,427,999.62/8,564.48
  6. Step 6: Final answer
    x = 6,938.89

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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.