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Finding the Fourth Proportional to 11,460.80, 17,192.98 and 4,887

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Solution

The fourth proportional to 11,460.80, 17,192.98 and 4,887 is: 7,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,460.80 : 17,192.98 = 4,887 : x
  2. Step 2: Convert to fraction form
    11,460.80/17,192.98 = 4,887/x
  3. Step 3: Cross multiply
    11,460.80x = 17,192.98 × 4,887
  4. Step 4: Simplify right side
    11,460.80x = 84,022,093.26
  5. Step 5: Solve for x
    x = 84,022,093.26/11,460.80
  6. Step 6: Final answer
    x = 7,331.26

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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.