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Finding the Fourth Proportional to 10,405.10, 15,622.05 and 8,216.30

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Solution

The fourth proportional to 10,405.10, 15,622.05 and 8,216.30 is: 12,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.10 : 15,622.05 = 8,216.30 : x
  2. Step 2: Convert to fraction form
    10,405.10/15,622.05 = 8,216.30/x
  3. Step 3: Cross multiply
    10,405.10x = 15,622.05 × 8,216.30
  4. Step 4: Simplify right side
    10,405.10x = 128,355,449.42
  5. Step 5: Solve for x
    x = 128,355,449.42/10,405.10
  6. Step 6: Final answer
    x = 12,335.82

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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.