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Finding the Fourth Proportional to 8,274.70, 12,405.57 and 5,669.74

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Solution

The fourth proportional to 8,274.70, 12,405.57 and 5,669.74 is: 8,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.70 : 12,405.57 = 5,669.74 : x
  2. Step 2: Convert to fraction form
    8,274.70/12,405.57 = 5,669.74/x
  3. Step 3: Cross multiply
    8,274.70x = 12,405.57 × 5,669.74
  4. Step 4: Simplify right side
    8,274.70x = 70,336,356.45
  5. Step 5: Solve for x
    x = 70,336,356.45/8,274.70
  6. Step 6: Final answer
    x = 8,500.17

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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.