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Finding the Fourth Proportional to 10,041.63, 13,857.81 and 6,061.97

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Solution

The fourth proportional to 10,041.63, 13,857.81 and 6,061.97 is: 8,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.63 : 13,857.81 = 6,061.97 : x
  2. Step 2: Convert to fraction form
    10,041.63/13,857.81 = 6,061.97/x
  3. Step 3: Cross multiply
    10,041.63x = 13,857.81 × 6,061.97
  4. Step 4: Simplify right side
    10,041.63x = 84,005,528.89
  5. Step 5: Solve for x
    x = 84,005,528.89/10,041.63
  6. Step 6: Final answer
    x = 8,365.73

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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.