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Finding the Fourth Proportional to 8,032.96, 12,104.32 and 6,604.12

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Solution

The fourth proportional to 8,032.96, 12,104.32 and 6,604.12 is: 9,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.96 : 12,104.32 = 6,604.12 : x
  2. Step 2: Convert to fraction form
    8,032.96/12,104.32 = 6,604.12/x
  3. Step 3: Cross multiply
    8,032.96x = 12,104.32 × 6,604.12
  4. Step 4: Simplify right side
    8,032.96x = 79,938,381.80
  5. Step 5: Solve for x
    x = 79,938,381.80/8,032.96
  6. Step 6: Final answer
    x = 9,951.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.