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Finding the Fourth Proportional to 10,662.96, 14,715.62 and 5,947.24

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Solution

The fourth proportional to 10,662.96, 14,715.62 and 5,947.24 is: 8,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.96 : 14,715.62 = 5,947.24 : x
  2. Step 2: Convert to fraction form
    10,662.96/14,715.62 = 5,947.24/x
  3. Step 3: Cross multiply
    10,662.96x = 14,715.62 × 5,947.24
  4. Step 4: Simplify right side
    10,662.96x = 87,517,323.89
  5. Step 5: Solve for x
    x = 87,517,323.89/10,662.96
  6. Step 6: Final answer
    x = 8,207.60

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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.