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Finding the Fourth Proportional to 8,159.00, 11,264.74 and 5,366.12

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Solution

The fourth proportional to 8,159.00, 11,264.74 and 5,366.12 is: 7,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.00 : 11,264.74 = 5,366.12 : x
  2. Step 2: Convert to fraction form
    8,159.00/11,264.74 = 5,366.12/x
  3. Step 3: Cross multiply
    8,159.00x = 11,264.74 × 5,366.12
  4. Step 4: Simplify right side
    8,159.00x = 60,447,876.87
  5. Step 5: Solve for x
    x = 60,447,876.87/8,159.00
  6. Step 6: Final answer
    x = 7,408.74

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1.5x scale

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.