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Finding the Fourth Proportional to 8,419.16, 12,630.14 and 3,156.06

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Solution

The fourth proportional to 8,419.16, 12,630.14 and 3,156.06 is: 4,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.16 : 12,630.14 = 3,156.06 : x
  2. Step 2: Convert to fraction form
    8,419.16/12,630.14 = 3,156.06/x
  3. Step 3: Cross multiply
    8,419.16x = 12,630.14 × 3,156.06
  4. Step 4: Simplify right side
    8,419.16x = 39,861,479.65
  5. Step 5: Solve for x
    x = 39,861,479.65/8,419.16
  6. Step 6: Final answer
    x = 4,734.61

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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.