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Finding the Fourth Proportional to 8,535, 12,807.54 and 3,604.32

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Solution

The fourth proportional to 8,535, 12,807.54 and 3,604.32 is: 5,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 12,807.54 = 3,604.32 : x
  2. Step 2: Convert to fraction form
    8,535/12,807.54 = 3,604.32/x
  3. Step 3: Cross multiply
    8,535x = 12,807.54 × 3,604.32
  4. Step 4: Simplify right side
    8,535x = 46,162,472.57
  5. Step 5: Solve for x
    x = 46,162,472.57/8,535
  6. Step 6: Final answer
    x = 5,408.61

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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.