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Finding the Fourth Proportional to 7,711, 11,566.52 and 2,239

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Solution

The fourth proportional to 7,711, 11,566.52 and 2,239 is: 3,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711 : 11,566.52 = 2,239 : x
  2. Step 2: Convert to fraction form
    7,711/11,566.52 = 2,239/x
  3. Step 3: Cross multiply
    7,711x = 11,566.52 × 2,239
  4. Step 4: Simplify right side
    7,711x = 25,897,438.28
  5. Step 5: Solve for x
    x = 25,897,438.28/7,711
  6. Step 6: Final answer
    x = 3,358.51

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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.