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Finding the Fourth Proportional to 10,481.59, 14,464.79 and 5,701.63

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Solution

The fourth proportional to 10,481.59, 14,464.79 and 5,701.63 is: 7,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.59 : 14,464.79 = 5,701.63 : x
  2. Step 2: Convert to fraction form
    10,481.59/14,464.79 = 5,701.63/x
  3. Step 3: Cross multiply
    10,481.59x = 14,464.79 × 5,701.63
  4. Step 4: Simplify right side
    10,481.59x = 82,472,880.61
  5. Step 5: Solve for x
    x = 82,472,880.61/10,481.59
  6. Step 6: Final answer
    x = 7,868.36

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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.