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Finding the Fourth Proportional to 8,406.48, 12,596.76 and 5,322

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Solution

The fourth proportional to 8,406.48, 12,596.76 and 5,322 is: 7,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.48 : 12,596.76 = 5,322 : x
  2. Step 2: Convert to fraction form
    8,406.48/12,596.76 = 5,322/x
  3. Step 3: Cross multiply
    8,406.48x = 12,596.76 × 5,322
  4. Step 4: Simplify right side
    8,406.48x = 67,039,956.72
  5. Step 5: Solve for x
    x = 67,039,956.72/8,406.48
  6. Step 6: Final answer
    x = 7,974.80

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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.