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Finding the Fourth Proportional to 7,572, 11,358.44 and 2,892.44

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Solution

The fourth proportional to 7,572, 11,358.44 and 2,892.44 is: 4,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572 : 11,358.44 = 2,892.44 : x
  2. Step 2: Convert to fraction form
    7,572/11,358.44 = 2,892.44/x
  3. Step 3: Cross multiply
    7,572x = 11,358.44 × 2,892.44
  4. Step 4: Simplify right side
    7,572x = 32,853,606.19
  5. Step 5: Solve for x
    x = 32,853,606.19/7,572
  6. Step 6: Final answer
    x = 4,338.83

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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.