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Finding the Fourth Proportional to 7,167.36, 10,750.68 and 3,005.76

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Solution

The fourth proportional to 7,167.36, 10,750.68 and 3,005.76 is: 4,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.36 : 10,750.68 = 3,005.76 : x
  2. Step 2: Convert to fraction form
    7,167.36/10,750.68 = 3,005.76/x
  3. Step 3: Cross multiply
    7,167.36x = 10,750.68 × 3,005.76
  4. Step 4: Simplify right side
    7,167.36x = 32,313,963.92
  5. Step 5: Solve for x
    x = 32,313,963.92/7,167.36
  6. Step 6: Final answer
    x = 4,508.49

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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.