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Finding the Fourth Proportional to 7,564, 11,346.08 and 2,092

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Solution

The fourth proportional to 7,564, 11,346.08 and 2,092 is: 3,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564 : 11,346.08 = 2,092 : x
  2. Step 2: Convert to fraction form
    7,564/11,346.08 = 2,092/x
  3. Step 3: Cross multiply
    7,564x = 11,346.08 × 2,092
  4. Step 4: Simplify right side
    7,564x = 23,735,999.36
  5. Step 5: Solve for x
    x = 23,735,999.36/7,564
  6. Step 6: Final answer
    x = 3,138.02

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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.