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Finding the Fourth Proportional to 7,774.52, 11,659.92 and 3,092.50

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Solution

The fourth proportional to 7,774.52, 11,659.92 and 3,092.50 is: 4,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.52 : 11,659.92 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    7,774.52/11,659.92 = 3,092.50/x
  3. Step 3: Cross multiply
    7,774.52x = 11,659.92 × 3,092.50
  4. Step 4: Simplify right side
    7,774.52x = 36,058,302.60
  5. Step 5: Solve for x
    x = 36,058,302.60/7,774.52
  6. Step 6: Final answer
    x = 4,638.01

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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.