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Finding the Fourth Proportional to 7,308.80, 10,964.81 and 3,411.08

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Solution

The fourth proportional to 7,308.80, 10,964.81 and 3,411.08 is: 5,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.80 : 10,964.81 = 3,411.08 : x
  2. Step 2: Convert to fraction form
    7,308.80/10,964.81 = 3,411.08/x
  3. Step 3: Cross multiply
    7,308.80x = 10,964.81 × 3,411.08
  4. Step 4: Simplify right side
    7,308.80x = 37,401,838.92
  5. Step 5: Solve for x
    x = 37,401,838.92/7,308.80
  6. Step 6: Final answer
    x = 5,117.37

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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.