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Finding the Fourth Proportional to 10,243.74, 14,140.34 and 8,006.35

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Solution

The fourth proportional to 10,243.74, 14,140.34 and 8,006.35 is: 11,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.74 : 14,140.34 = 8,006.35 : x
  2. Step 2: Convert to fraction form
    10,243.74/14,140.34 = 8,006.35/x
  3. Step 3: Cross multiply
    10,243.74x = 14,140.34 × 8,006.35
  4. Step 4: Simplify right side
    10,243.74x = 113,212,452.54
  5. Step 5: Solve for x
    x = 113,212,452.54/10,243.74
  6. Step 6: Final answer
    x = 11,051.86

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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.