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Finding the Fourth Proportional to 7,309.98, 10,966.59 and 3,412.26

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Solution

The fourth proportional to 7,309.98, 10,966.59 and 3,412.26 is: 5,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.98 : 10,966.59 = 3,412.26 : x
  2. Step 2: Convert to fraction form
    7,309.98/10,966.59 = 3,412.26/x
  3. Step 3: Cross multiply
    7,309.98x = 10,966.59 × 3,412.26
  4. Step 4: Simplify right side
    7,309.98x = 37,420,856.39
  5. Step 5: Solve for x
    x = 37,420,856.39/7,309.98
  6. Step 6: Final answer
    x = 5,119.15

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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.