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Finding the Fourth Proportional to 7,523.64, 11,282.76 and 2,592

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Solution

The fourth proportional to 7,523.64, 11,282.76 and 2,592 is: 3,887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.64 : 11,282.76 = 2,592 : x
  2. Step 2: Convert to fraction form
    7,523.64/11,282.76 = 2,592/x
  3. Step 3: Cross multiply
    7,523.64x = 11,282.76 × 2,592
  4. Step 4: Simplify right side
    7,523.64x = 29,244,913.92
  5. Step 5: Solve for x
    x = 29,244,913.92/7,523.64
  6. Step 6: Final answer
    x = 3,887.07

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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.