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Finding the Fourth Proportional to 8,297.76, 12,446.64 and 4,793.10

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Solution

The fourth proportional to 8,297.76, 12,446.64 and 4,793.10 is: 7,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.76 : 12,446.64 = 4,793.10 : x
  2. Step 2: Convert to fraction form
    8,297.76/12,446.64 = 4,793.10/x
  3. Step 3: Cross multiply
    8,297.76x = 12,446.64 × 4,793.10
  4. Step 4: Simplify right side
    8,297.76x = 59,657,990.18
  5. Step 5: Solve for x
    x = 59,657,990.18/8,297.76
  6. Step 6: Final answer
    x = 7,189.65

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