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Finding the Fourth Proportional to 8,156.40, 12,230.46 and 3,474.60

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Solution

The fourth proportional to 8,156.40, 12,230.46 and 3,474.60 is: 5,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.40 : 12,230.46 = 3,474.60 : x
  2. Step 2: Convert to fraction form
    8,156.40/12,230.46 = 3,474.60/x
  3. Step 3: Cross multiply
    8,156.40x = 12,230.46 × 3,474.60
  4. Step 4: Simplify right side
    8,156.40x = 42,495,956.32
  5. Step 5: Solve for x
    x = 42,495,956.32/8,156.40
  6. Step 6: Final answer
    x = 5,210.14

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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.