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Finding the Fourth Proportional to 7,773.17, 11,657.70 and 3,092.99

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Solution

The fourth proportional to 7,773.17, 11,657.70 and 3,092.99 is: 4,638.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.17 : 11,657.70 = 3,092.99 : x
  2. Step 2: Convert to fraction form
    7,773.17/11,657.70 = 3,092.99/x
  3. Step 3: Cross multiply
    7,773.17x = 11,657.70 × 3,092.99
  4. Step 4: Simplify right side
    7,773.17x = 36,057,091.23
  5. Step 5: Solve for x
    x = 36,057,091.23/7,773.17
  6. Step 6: Final answer
    x = 4,638.66

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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.