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Finding the Fourth Proportional to 10,906.30, 16,345.70 and 4,658.92

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Solution

The fourth proportional to 10,906.30, 16,345.70 and 4,658.92 is: 6,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.30 : 16,345.70 = 4,658.92 : x
  2. Step 2: Convert to fraction form
    10,906.30/16,345.70 = 4,658.92/x
  3. Step 3: Cross multiply
    10,906.30x = 16,345.70 × 4,658.92
  4. Step 4: Simplify right side
    10,906.30x = 76,153,261.96
  5. Step 5: Solve for x
    x = 76,153,261.96/10,906.30
  6. Step 6: Final answer
    x = 6,982.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.