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Finding the Fourth Proportional to 7,296.24, 10,937.64 and 2,678.64

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Solution

The fourth proportional to 7,296.24, 10,937.64 and 2,678.64 is: 4,015.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.24 : 10,937.64 = 2,678.64 : x
  2. Step 2: Convert to fraction form
    7,296.24/10,937.64 = 2,678.64/x
  3. Step 3: Cross multiply
    7,296.24x = 10,937.64 × 2,678.64
  4. Step 4: Simplify right side
    7,296.24x = 29,298,000.01
  5. Step 5: Solve for x
    x = 29,298,000.01/7,296.24
  6. Step 6: Final answer
    x = 4,015.49

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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.