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Finding the Fourth Proportional to 11,132, 16,698.96 and 2,924

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Solution

The fourth proportional to 11,132, 16,698.96 and 2,924 is: 4,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132 : 16,698.96 = 2,924 : x
  2. Step 2: Convert to fraction form
    11,132/16,698.96 = 2,924/x
  3. Step 3: Cross multiply
    11,132x = 16,698.96 × 2,924
  4. Step 4: Simplify right side
    11,132x = 48,827,759.04
  5. Step 5: Solve for x
    x = 48,827,759.04/11,132
  6. Step 6: Final answer
    x = 4,386.25

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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.