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Finding the Fourth Proportional to 11,752.48, 17,620.32 and 5,509

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Solution

The fourth proportional to 11,752.48, 17,620.32 and 5,509 is: 8,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.48 : 17,620.32 = 5,509 : x
  2. Step 2: Convert to fraction form
    11,752.48/17,620.32 = 5,509/x
  3. Step 3: Cross multiply
    11,752.48x = 17,620.32 × 5,509
  4. Step 4: Simplify right side
    11,752.48x = 97,070,342.88
  5. Step 5: Solve for x
    x = 97,070,342.88/11,752.48
  6. Step 6: Final answer
    x = 8,259.56

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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.