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Finding the Fourth Proportional to 8,334.22, 12,412.91 and 8,294

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Solution

The fourth proportional to 8,334.22, 12,412.91 and 8,294 is: 12,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.22 : 12,412.91 = 8,294 : x
  2. Step 2: Convert to fraction form
    8,334.22/12,412.91 = 8,294/x
  3. Step 3: Cross multiply
    8,334.22x = 12,412.91 × 8,294
  4. Step 4: Simplify right side
    8,334.22x = 102,952,675.54
  5. Step 5: Solve for x
    x = 102,952,675.54/8,334.22
  6. Step 6: Final answer
    x = 12,353.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.