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Finding the Fourth Proportional to 10,627.14, 14,651.88 and 8,206.86

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Solution

The fourth proportional to 10,627.14, 14,651.88 and 8,206.86 is: 11,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.14 : 14,651.88 = 8,206.86 : x
  2. Step 2: Convert to fraction form
    10,627.14/14,651.88 = 8,206.86/x
  3. Step 3: Cross multiply
    10,627.14x = 14,651.88 × 8,206.86
  4. Step 4: Simplify right side
    10,627.14x = 120,245,927.90
  5. Step 5: Solve for x
    x = 120,245,927.90/10,627.14
  6. Step 6: Final answer
    x = 11,314.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.