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Finding the Fourth Proportional to 11,829.01, 17,718.08 and 5,579.66

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Solution

The fourth proportional to 11,829.01, 17,718.08 and 5,579.66 is: 8,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.01 : 17,718.08 = 5,579.66 : x
  2. Step 2: Convert to fraction form
    11,829.01/17,718.08 = 5,579.66/x
  3. Step 3: Cross multiply
    11,829.01x = 17,718.08 × 5,579.66
  4. Step 4: Simplify right side
    11,829.01x = 98,860,852.36
  5. Step 5: Solve for x
    x = 98,860,852.36/11,829.01
  6. Step 6: Final answer
    x = 8,357.49

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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.