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Finding the Fourth Proportional to 10,293.03, 14,204.49 and 6,044.14

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Solution

The fourth proportional to 10,293.03, 14,204.49 and 6,044.14 is: 8,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.03 : 14,204.49 = 6,044.14 : x
  2. Step 2: Convert to fraction form
    10,293.03/14,204.49 = 6,044.14/x
  3. Step 3: Cross multiply
    10,293.03x = 14,204.49 × 6,044.14
  4. Step 4: Simplify right side
    10,293.03x = 85,853,895.97
  5. Step 5: Solve for x
    x = 85,853,895.97/10,293.03
  6. Step 6: Final answer
    x = 8,340.98

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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.