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Finding the Fourth Proportional to 10,774.14, 14,866.56 and 6,057.48

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Solution

The fourth proportional to 10,774.14, 14,866.56 and 6,057.48 is: 8,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.14 : 14,866.56 = 6,057.48 : x
  2. Step 2: Convert to fraction form
    10,774.14/14,866.56 = 6,057.48/x
  3. Step 3: Cross multiply
    10,774.14x = 14,866.56 × 6,057.48
  4. Step 4: Simplify right side
    10,774.14x = 90,053,889.87
  5. Step 5: Solve for x
    x = 90,053,889.87/10,774.14
  6. Step 6: Final answer
    x = 8,358.34

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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.