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Finding the Fourth Proportional to 7,481.34, 11,222.02 and 7,024.63

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Solution

The fourth proportional to 7,481.34, 11,222.02 and 7,024.63 is: 10,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.34 : 11,222.02 = 7,024.63 : x
  2. Step 2: Convert to fraction form
    7,481.34/11,222.02 = 7,024.63/x
  3. Step 3: Cross multiply
    7,481.34x = 11,222.02 × 7,024.63
  4. Step 4: Simplify right side
    7,481.34x = 78,830,538.35
  5. Step 5: Solve for x
    x = 78,830,538.35/7,481.34
  6. Step 6: Final answer
    x = 10,536.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.