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Finding the Fourth Proportional to 7,823.92, 10,793.40 and 4,510

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Solution

The fourth proportional to 7,823.92, 10,793.40 and 4,510 is: 6,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.92 : 10,793.40 = 4,510 : x
  2. Step 2: Convert to fraction form
    7,823.92/10,793.40 = 4,510/x
  3. Step 3: Cross multiply
    7,823.92x = 10,793.40 × 4,510
  4. Step 4: Simplify right side
    7,823.92x = 48,678,234
  5. Step 5: Solve for x
    x = 48,678,234/7,823.92
  6. Step 6: Final answer
    x = 6,221.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.