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Finding the Fourth Proportional to 8,380.60, 12,563.46 and 4,215.16

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Solution

The fourth proportional to 8,380.60, 12,563.46 and 4,215.16 is: 6,319.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.60 : 12,563.46 = 4,215.16 : x
  2. Step 2: Convert to fraction form
    8,380.60/12,563.46 = 4,215.16/x
  3. Step 3: Cross multiply
    8,380.60x = 12,563.46 × 4,215.16
  4. Step 4: Simplify right side
    8,380.60x = 52,956,994.05
  5. Step 5: Solve for x
    x = 52,956,994.05/8,380.60
  6. Step 6: Final answer
    x = 6,319.00

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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.