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Finding the Fourth Proportional to 7,663.63, 11,498.18 and 3,770.77

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Solution

The fourth proportional to 7,663.63, 11,498.18 and 3,770.77 is: 5,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.63 : 11,498.18 = 3,770.77 : x
  2. Step 2: Convert to fraction form
    7,663.63/11,498.18 = 3,770.77/x
  3. Step 3: Cross multiply
    7,663.63x = 11,498.18 × 3,770.77
  4. Step 4: Simplify right side
    7,663.63x = 43,356,992.20
  5. Step 5: Solve for x
    x = 43,356,992.20/7,663.63
  6. Step 6: Final answer
    x = 5,657.50

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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.