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Finding the Fourth Proportional to 8,356.77, 12,535.16 and 2,512.62

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Solution

The fourth proportional to 8,356.77, 12,535.16 and 2,512.62 is: 3,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.77 : 12,535.16 = 2,512.62 : x
  2. Step 2: Convert to fraction form
    8,356.77/12,535.16 = 2,512.62/x
  3. Step 3: Cross multiply
    8,356.77x = 12,535.16 × 2,512.62
  4. Step 4: Simplify right side
    8,356.77x = 31,496,081.16
  5. Step 5: Solve for x
    x = 31,496,081.16/8,356.77
  6. Step 6: Final answer
    x = 3,768.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.