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Finding the Fourth Proportional to 7,852.82, 11,769.03 and 3,634.47

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Solution

The fourth proportional to 7,852.82, 11,769.03 and 3,634.47 is: 5,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.82 : 11,769.03 = 3,634.47 : x
  2. Step 2: Convert to fraction form
    7,852.82/11,769.03 = 3,634.47/x
  3. Step 3: Cross multiply
    7,852.82x = 11,769.03 × 3,634.47
  4. Step 4: Simplify right side
    7,852.82x = 42,774,186.46
  5. Step 5: Solve for x
    x = 42,774,186.46/7,852.82
  6. Step 6: Final answer
    x = 5,446.99

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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.