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Finding the Fourth Proportional to 7,309.76, 10,965.34 and 2,044.77

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Solution

The fourth proportional to 7,309.76, 10,965.34 and 2,044.77 is: 3,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.76 : 10,965.34 = 2,044.77 : x
  2. Step 2: Convert to fraction form
    7,309.76/10,965.34 = 2,044.77/x
  3. Step 3: Cross multiply
    7,309.76x = 10,965.34 × 2,044.77
  4. Step 4: Simplify right side
    7,309.76x = 22,421,609.89
  5. Step 5: Solve for x
    x = 22,421,609.89/7,309.76
  6. Step 6: Final answer
    x = 3,067.35

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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.