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Finding the Fourth Proportional to 11,718, 17,577.22 and 5,476.30

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Solution

The fourth proportional to 11,718, 17,577.22 and 5,476.30 is: 8,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718 : 17,577.22 = 5,476.30 : x
  2. Step 2: Convert to fraction form
    11,718/17,577.22 = 5,476.30/x
  3. Step 3: Cross multiply
    11,718x = 17,577.22 × 5,476.30
  4. Step 4: Simplify right side
    11,718x = 96,258,129.89
  5. Step 5: Solve for x
    x = 96,258,129.89/11,718
  6. Step 6: Final answer
    x = 8,214.55

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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.