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Finding the Fourth Proportional to 8,294.13, 11,448.27 and 4,894.29

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Solution

The fourth proportional to 8,294.13, 11,448.27 and 4,894.29 is: 6,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.13 : 11,448.27 = 4,894.29 : x
  2. Step 2: Convert to fraction form
    8,294.13/11,448.27 = 4,894.29/x
  3. Step 3: Cross multiply
    8,294.13x = 11,448.27 × 4,894.29
  4. Step 4: Simplify right side
    8,294.13x = 56,031,153.38
  5. Step 5: Solve for x
    x = 56,031,153.38/8,294.13
  6. Step 6: Final answer
    x = 6,755.52

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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.