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Finding the Fourth Proportional to 8,243.74, 12,358.17 and 3,045.98

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Solution

The fourth proportional to 8,243.74, 12,358.17 and 3,045.98 is: 4,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.74 : 12,358.17 = 3,045.98 : x
  2. Step 2: Convert to fraction form
    8,243.74/12,358.17 = 3,045.98/x
  3. Step 3: Cross multiply
    8,243.74x = 12,358.17 × 3,045.98
  4. Step 4: Simplify right side
    8,243.74x = 37,642,738.66
  5. Step 5: Solve for x
    x = 37,642,738.66/8,243.74
  6. Step 6: Final answer
    x = 4,566.22

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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.