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Finding the Fourth Proportional to 10,040.96, 13,857.47 and 6,065.34

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Solution

The fourth proportional to 10,040.96, 13,857.47 and 6,065.34 is: 8,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.96 : 13,857.47 = 6,065.34 : x
  2. Step 2: Convert to fraction form
    10,040.96/13,857.47 = 6,065.34/x
  3. Step 3: Cross multiply
    10,040.96x = 13,857.47 × 6,065.34
  4. Step 4: Simplify right side
    10,040.96x = 84,050,267.09
  5. Step 5: Solve for x
    x = 84,050,267.09/10,040.96
  6. Step 6: Final answer
    x = 8,370.74

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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.