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Finding the Fourth Proportional to 26,116, 39,174 and 7,648.16

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Solution

The fourth proportional to 26,116, 39,174 and 7,648.16 is: 11,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,116 : 39,174 = 7,648.16 : x
  2. Step 2: Convert to fraction form
    26,116/39,174 = 7,648.16/x
  3. Step 3: Cross multiply
    26,116x = 39,174 × 7,648.16
  4. Step 4: Simplify right side
    26,116x = 299,609,019.84
  5. Step 5: Solve for x
    x = 299,609,019.84/26,116
  6. Step 6: Final answer
    x = 11,472.24

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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.