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Finding the Fourth Proportional to 10,451.63, 14,423.21 and 5,671.60

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Solution

The fourth proportional to 10,451.63, 14,423.21 and 5,671.60 is: 7,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.63 : 14,423.21 = 5,671.60 : x
  2. Step 2: Convert to fraction form
    10,451.63/14,423.21 = 5,671.60/x
  3. Step 3: Cross multiply
    10,451.63x = 14,423.21 × 5,671.60
  4. Step 4: Simplify right side
    10,451.63x = 81,802,605.72
  5. Step 5: Solve for x
    x = 81,802,605.72/10,451.63
  6. Step 6: Final answer
    x = 7,826.78

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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.