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Finding the Fourth Proportional to 10,039.28, 13,846.92 and 6,058.64

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Solution

The fourth proportional to 10,039.28, 13,846.92 and 6,058.64 is: 8,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.28 : 13,846.92 = 6,058.64 : x
  2. Step 2: Convert to fraction form
    10,039.28/13,846.92 = 6,058.64/x
  3. Step 3: Cross multiply
    10,039.28x = 13,846.92 × 6,058.64
  4. Step 4: Simplify right side
    10,039.28x = 83,893,503.39
  5. Step 5: Solve for x
    x = 83,893,503.39/10,039.28
  6. Step 6: Final answer
    x = 8,356.53

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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.