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Finding the Fourth Proportional to 8,420.52, 12,622.74 and 3,154.14

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Solution

The fourth proportional to 8,420.52, 12,622.74 and 3,154.14 is: 4,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.52 : 12,622.74 = 3,154.14 : x
  2. Step 2: Convert to fraction form
    8,420.52/12,622.74 = 3,154.14/x
  3. Step 3: Cross multiply
    8,420.52x = 12,622.74 × 3,154.14
  4. Step 4: Simplify right side
    8,420.52x = 39,813,889.14
  5. Step 5: Solve for x
    x = 39,813,889.14/8,420.52
  6. Step 6: Final answer
    x = 4,728.20

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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.