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Finding the Fourth Proportional to 8,234.66, 12,397.58 and 5,654.54

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Solution

The fourth proportional to 8,234.66, 12,397.58 and 5,654.54 is: 8,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.66 : 12,397.58 = 5,654.54 : x
  2. Step 2: Convert to fraction form
    8,234.66/12,397.58 = 5,654.54/x
  3. Step 3: Cross multiply
    8,234.66x = 12,397.58 × 5,654.54
  4. Step 4: Simplify right side
    8,234.66x = 70,102,612.01
  5. Step 5: Solve for x
    x = 70,102,612.01/8,234.66
  6. Step 6: Final answer
    x = 8,513.12

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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.