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Finding the Fourth Proportional to 7,563.30, 11,347.55 and 3,406.22

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Solution

The fourth proportional to 7,563.30, 11,347.55 and 3,406.22 is: 5,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.30 : 11,347.55 = 3,406.22 : x
  2. Step 2: Convert to fraction form
    7,563.30/11,347.55 = 3,406.22/x
  3. Step 3: Cross multiply
    7,563.30x = 11,347.55 × 3,406.22
  4. Step 4: Simplify right side
    7,563.30x = 38,652,177.99
  5. Step 5: Solve for x
    x = 38,652,177.99/7,563.30
  6. Step 6: Final answer
    x = 5,110.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.