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Finding the Fourth Proportional to 7,596.52, 11,396.16 and 2,666.66

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Solution

The fourth proportional to 7,596.52, 11,396.16 and 2,666.66 is: 4,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.52 : 11,396.16 = 2,666.66 : x
  2. Step 2: Convert to fraction form
    7,596.52/11,396.16 = 2,666.66/x
  3. Step 3: Cross multiply
    7,596.52x = 11,396.16 × 2,666.66
  4. Step 4: Simplify right side
    7,596.52x = 30,389,627.04
  5. Step 5: Solve for x
    x = 30,389,627.04/7,596.52
  6. Step 6: Final answer
    x = 4,000.47

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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.