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Finding the Fourth Proportional to 7,669.46, 11,494.20 and 3,503.36

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Solution

The fourth proportional to 7,669.46, 11,494.20 and 3,503.36 is: 5,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.46 : 11,494.20 = 3,503.36 : x
  2. Step 2: Convert to fraction form
    7,669.46/11,494.20 = 3,503.36/x
  3. Step 3: Cross multiply
    7,669.46x = 11,494.20 × 3,503.36
  4. Step 4: Simplify right side
    7,669.46x = 40,268,320.51
  5. Step 5: Solve for x
    x = 40,268,320.51/7,669.46
  6. Step 6: Final answer
    x = 5,250.48

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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.