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Finding the Fourth Proportional to 8,544.32, 11,790 and 4,767.32

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Solution

The fourth proportional to 8,544.32, 11,790 and 4,767.32 is: 6,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,544.32 : 11,790 = 4,767.32 : x
  2. Step 2: Convert to fraction form
    8,544.32/11,790 = 4,767.32/x
  3. Step 3: Cross multiply
    8,544.32x = 11,790 × 4,767.32
  4. Step 4: Simplify right side
    8,544.32x = 56,206,702.80
  5. Step 5: Solve for x
    x = 56,206,702.80/8,544.32
  6. Step 6: Final answer
    x = 6,578.25

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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.