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Finding the Fourth Proportional to 8,209.32, 11,328.96 and 4,672.86

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Solution

The fourth proportional to 8,209.32, 11,328.96 and 4,672.86 is: 6,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.32 : 11,328.96 = 4,672.86 : x
  2. Step 2: Convert to fraction form
    8,209.32/11,328.96 = 4,672.86/x
  3. Step 3: Cross multiply
    8,209.32x = 11,328.96 × 4,672.86
  4. Step 4: Simplify right side
    8,209.32x = 52,938,644.03
  5. Step 5: Solve for x
    x = 52,938,644.03/8,209.32
  6. Step 6: Final answer
    x = 6,448.60

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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.