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Finding the Fourth Proportional to 8,264.02, 11,401.05 and 5,279.08

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Solution

The fourth proportional to 8,264.02, 11,401.05 and 5,279.08 is: 7,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.02 : 11,401.05 = 5,279.08 : x
  2. Step 2: Convert to fraction form
    8,264.02/11,401.05 = 5,279.08/x
  3. Step 3: Cross multiply
    8,264.02x = 11,401.05 × 5,279.08
  4. Step 4: Simplify right side
    8,264.02x = 60,187,055.03
  5. Step 5: Solve for x
    x = 60,187,055.03/8,264.02
  6. Step 6: Final answer
    x = 7,283.02

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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.