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Finding the Fourth Proportional to 8,349.16, 12,527.26 and 4,193

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Solution

The fourth proportional to 8,349.16, 12,527.26 and 4,193 is: 6,291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349.16 : 12,527.26 = 4,193 : x
  2. Step 2: Convert to fraction form
    8,349.16/12,527.26 = 4,193/x
  3. Step 3: Cross multiply
    8,349.16x = 12,527.26 × 4,193
  4. Step 4: Simplify right side
    8,349.16x = 52,526,801.18
  5. Step 5: Solve for x
    x = 52,526,801.18/8,349.16
  6. Step 6: Final answer
    x = 6,291.27

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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.