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Finding the Fourth Proportional to 10,451.63, 14,422.72 and 6,202.87

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Solution

The fourth proportional to 10,451.63, 14,422.72 and 6,202.87 is: 8,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.63 : 14,422.72 = 6,202.87 : x
  2. Step 2: Convert to fraction form
    10,451.63/14,422.72 = 6,202.87/x
  3. Step 3: Cross multiply
    10,451.63x = 14,422.72 × 6,202.87
  4. Step 4: Simplify right side
    10,451.63x = 89,462,217.27
  5. Step 5: Solve for x
    x = 89,462,217.27/10,451.63
  6. Step 6: Final answer
    x = 8,559.65

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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.