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Finding the Fourth Proportional to 8,362.86, 11,540.30 and 4,586.04

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Solution

The fourth proportional to 8,362.86, 11,540.30 and 4,586.04 is: 6,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 11,540.30 = 4,586.04 : x
  2. Step 2: Convert to fraction form
    8,362.86/11,540.30 = 4,586.04/x
  3. Step 3: Cross multiply
    8,362.86x = 11,540.30 × 4,586.04
  4. Step 4: Simplify right side
    8,362.86x = 52,924,277.41
  5. Step 5: Solve for x
    x = 52,924,277.41/8,362.86
  6. Step 6: Final answer
    x = 6,328.49

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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.