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Finding the Fourth Proportional to 8,527.82, 12,787.85 and 3,594.77

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Solution

The fourth proportional to 8,527.82, 12,787.85 and 3,594.77 is: 5,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.82 : 12,787.85 = 3,594.77 : x
  2. Step 2: Convert to fraction form
    8,527.82/12,787.85 = 3,594.77/x
  3. Step 3: Cross multiply
    8,527.82x = 12,787.85 × 3,594.77
  4. Step 4: Simplify right side
    8,527.82x = 45,969,297.63
  5. Step 5: Solve for x
    x = 45,969,297.63/8,527.82
  6. Step 6: Final answer
    x = 5,390.51

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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.