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Finding the Fourth Proportional to 8,346.52, 11,515.26 and 5,201.56

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Solution

The fourth proportional to 8,346.52, 11,515.26 and 5,201.56 is: 7,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.52 : 11,515.26 = 5,201.56 : x
  2. Step 2: Convert to fraction form
    8,346.52/11,515.26 = 5,201.56/x
  3. Step 3: Cross multiply
    8,346.52x = 11,515.26 × 5,201.56
  4. Step 4: Simplify right side
    8,346.52x = 59,897,315.81
  5. Step 5: Solve for x
    x = 59,897,315.81/8,346.52
  6. Step 6: Final answer
    x = 7,176.32

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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.