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Finding the Fourth Proportional to 10,048.05, 13,858.31 and 6,463.42

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Solution

The fourth proportional to 10,048.05, 13,858.31 and 6,463.42 is: 8,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.05 : 13,858.31 = 6,463.42 : x
  2. Step 2: Convert to fraction form
    10,048.05/13,858.31 = 6,463.42/x
  3. Step 3: Cross multiply
    10,048.05x = 13,858.31 × 6,463.42
  4. Step 4: Simplify right side
    10,048.05x = 89,572,078.02
  5. Step 5: Solve for x
    x = 89,572,078.02/10,048.05
  6. Step 6: Final answer
    x = 8,914.37

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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.