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Finding the Fourth Proportional to 10,206.66, 14,093.49 and 8,318.52

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Solution

The fourth proportional to 10,206.66, 14,093.49 and 8,318.52 is: 11,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.66 : 14,093.49 = 8,318.52 : x
  2. Step 2: Convert to fraction form
    10,206.66/14,093.49 = 8,318.52/x
  3. Step 3: Cross multiply
    10,206.66x = 14,093.49 × 8,318.52
  4. Step 4: Simplify right side
    10,206.66x = 117,236,978.43
  5. Step 5: Solve for x
    x = 117,236,978.43/10,206.66
  6. Step 6: Final answer
    x = 11,486.32

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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.