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Finding the Fourth Proportional to 7,530.50, 11,296.02 and 2,336.24

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Solution

The fourth proportional to 7,530.50, 11,296.02 and 2,336.24 is: 3,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.50 : 11,296.02 = 2,336.24 : x
  2. Step 2: Convert to fraction form
    7,530.50/11,296.02 = 2,336.24/x
  3. Step 3: Cross multiply
    7,530.50x = 11,296.02 × 2,336.24
  4. Step 4: Simplify right side
    7,530.50x = 26,390,213.76
  5. Step 5: Solve for x
    x = 26,390,213.76/7,530.50
  6. Step 6: Final answer
    x = 3,504.44

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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.