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Finding the Fourth Proportional to 8,264.04, 11,404.26 and 5,121

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Solution

The fourth proportional to 8,264.04, 11,404.26 and 5,121 is: 7,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.04 : 11,404.26 = 5,121 : x
  2. Step 2: Convert to fraction form
    8,264.04/11,404.26 = 5,121/x
  3. Step 3: Cross multiply
    8,264.04x = 11,404.26 × 5,121
  4. Step 4: Simplify right side
    8,264.04x = 58,401,215.46
  5. Step 5: Solve for x
    x = 58,401,215.46/8,264.04
  6. Step 6: Final answer
    x = 7,066.91

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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.