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Finding the Fourth Proportional to 7,211.22, 9,950.13 and 4,556.76

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Solution

The fourth proportional to 7,211.22, 9,950.13 and 4,556.76 is: 6,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.22 : 9,950.13 = 4,556.76 : x
  2. Step 2: Convert to fraction form
    7,211.22/9,950.13 = 4,556.76/x
  3. Step 3: Cross multiply
    7,211.22x = 9,950.13 × 4,556.76
  4. Step 4: Simplify right side
    7,211.22x = 45,340,354.38
  5. Step 5: Solve for x
    x = 45,340,354.38/7,211.22
  6. Step 6: Final answer
    x = 6,287.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.