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Finding the Fourth Proportional to 7,695.05, 11,539.67 and 3,748.05

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Solution

The fourth proportional to 7,695.05, 11,539.67 and 3,748.05 is: 5,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.05 : 11,539.67 = 3,748.05 : x
  2. Step 2: Convert to fraction form
    7,695.05/11,539.67 = 3,748.05/x
  3. Step 3: Cross multiply
    7,695.05x = 11,539.67 × 3,748.05
  4. Step 4: Simplify right side
    7,695.05x = 43,251,241.40
  5. Step 5: Solve for x
    x = 43,251,241.40/7,695.05
  6. Step 6: Final answer
    x = 5,620.66

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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.