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Finding the Fourth Proportional to 11,774.70, 17,664.48 and 5,114.07

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Solution

The fourth proportional to 11,774.70, 17,664.48 and 5,114.07 is: 7,672.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.70 : 17,664.48 = 5,114.07 : x
  2. Step 2: Convert to fraction form
    11,774.70/17,664.48 = 5,114.07/x
  3. Step 3: Cross multiply
    11,774.70x = 17,664.48 × 5,114.07
  4. Step 4: Simplify right side
    11,774.70x = 90,337,387.23
  5. Step 5: Solve for x
    x = 90,337,387.23/11,774.70
  6. Step 6: Final answer
    x = 7,672.16

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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.