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Finding the Fourth Proportional to 8,377.14, 12,566.02 and 4,214.89

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Solution

The fourth proportional to 8,377.14, 12,566.02 and 4,214.89 is: 6,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.14 : 12,566.02 = 4,214.89 : x
  2. Step 2: Convert to fraction form
    8,377.14/12,566.02 = 4,214.89/x
  3. Step 3: Cross multiply
    8,377.14x = 12,566.02 × 4,214.89
  4. Step 4: Simplify right side
    8,377.14x = 52,964,316.65
  5. Step 5: Solve for x
    x = 52,964,316.65/8,377.14
  6. Step 6: Final answer
    x = 6,322.48

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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.