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Finding the Fourth Proportional to 7,530.32, 11,296.98 and 2,336

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Solution

The fourth proportional to 7,530.32, 11,296.98 and 2,336 is: 3,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.32 : 11,296.98 = 2,336 : x
  2. Step 2: Convert to fraction form
    7,530.32/11,296.98 = 2,336/x
  3. Step 3: Cross multiply
    7,530.32x = 11,296.98 × 2,336
  4. Step 4: Simplify right side
    7,530.32x = 26,389,745.28
  5. Step 5: Solve for x
    x = 26,389,745.28/7,530.32
  6. Step 6: Final answer
    x = 3,504.47

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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.