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Finding the Fourth Proportional to 10,289.46, 14,199.17 and 6,040.46

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Solution

The fourth proportional to 10,289.46, 14,199.17 and 6,040.46 is: 8,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.46 : 14,199.17 = 6,040.46 : x
  2. Step 2: Convert to fraction form
    10,289.46/14,199.17 = 6,040.46/x
  3. Step 3: Cross multiply
    10,289.46x = 14,199.17 × 6,040.46
  4. Step 4: Simplify right side
    10,289.46x = 85,769,439.87
  5. Step 5: Solve for x
    x = 85,769,439.87/10,289.46
  6. Step 6: Final answer
    x = 8,335.66

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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.