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Finding the Fourth Proportional to 8,380.50, 11,565.45 and 4,654.50

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Solution

The fourth proportional to 8,380.50, 11,565.45 and 4,654.50 is: 6,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.50 : 11,565.45 = 4,654.50 : x
  2. Step 2: Convert to fraction form
    8,380.50/11,565.45 = 4,654.50/x
  3. Step 3: Cross multiply
    8,380.50x = 11,565.45 × 4,654.50
  4. Step 4: Simplify right side
    8,380.50x = 53,831,387.03
  5. Step 5: Solve for x
    x = 53,831,387.03/8,380.50
  6. Step 6: Final answer
    x = 6,423.41

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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.