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Finding the Fourth Proportional to 7,309.22, 10,965.45 and 3,411.50

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Solution

The fourth proportional to 7,309.22, 10,965.45 and 3,411.50 is: 5,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.22 : 10,965.45 = 3,411.50 : x
  2. Step 2: Convert to fraction form
    7,309.22/10,965.45 = 3,411.50/x
  3. Step 3: Cross multiply
    7,309.22x = 10,965.45 × 3,411.50
  4. Step 4: Simplify right side
    7,309.22x = 37,408,632.68
  5. Step 5: Solve for x
    x = 37,408,632.68/7,309.22
  6. Step 6: Final answer
    x = 5,118.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.