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Finding the Fourth Proportional to 8,222.58, 12,344.50 and 7,060.14

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Solution

The fourth proportional to 8,222.58, 12,344.50 and 7,060.14 is: 10,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.58 : 12,344.50 = 7,060.14 : x
  2. Step 2: Convert to fraction form
    8,222.58/12,344.50 = 7,060.14/x
  3. Step 3: Cross multiply
    8,222.58x = 12,344.50 × 7,060.14
  4. Step 4: Simplify right side
    8,222.58x = 87,153,898.23
  5. Step 5: Solve for x
    x = 87,153,898.23/8,222.58
  6. Step 6: Final answer
    x = 10,599.34

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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.