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Finding the Fourth Proportional to 10,057.48, 13,881.54 and 5,866.36

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Solution

The fourth proportional to 10,057.48, 13,881.54 and 5,866.36 is: 8,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.48 : 13,881.54 = 5,866.36 : x
  2. Step 2: Convert to fraction form
    10,057.48/13,881.54 = 5,866.36/x
  3. Step 3: Cross multiply
    10,057.48x = 13,881.54 × 5,866.36
  4. Step 4: Simplify right side
    10,057.48x = 81,434,110.99
  5. Step 5: Solve for x
    x = 81,434,110.99/10,057.48
  6. Step 6: Final answer
    x = 8,096.87

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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.