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Finding the Fourth Proportional to 7,536, 11,305.68 and 3,093.66

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Solution

The fourth proportional to 7,536, 11,305.68 and 3,093.66 is: 4,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 11,305.68 = 3,093.66 : x
  2. Step 2: Convert to fraction form
    7,536/11,305.68 = 3,093.66/x
  3. Step 3: Cross multiply
    7,536x = 11,305.68 × 3,093.66
  4. Step 4: Simplify right side
    7,536x = 34,975,929.99
  5. Step 5: Solve for x
    x = 34,975,929.99/7,536
  6. Step 6: Final answer
    x = 4,641.18

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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.