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Finding the Fourth Proportional to 10,384.47, 14,331.74 and 5,906.79

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Solution

The fourth proportional to 10,384.47, 14,331.74 and 5,906.79 is: 8,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.47 : 14,331.74 = 5,906.79 : x
  2. Step 2: Convert to fraction form
    10,384.47/14,331.74 = 5,906.79/x
  3. Step 3: Cross multiply
    10,384.47x = 14,331.74 × 5,906.79
  4. Step 4: Simplify right side
    10,384.47x = 84,654,548.98
  5. Step 5: Solve for x
    x = 84,654,548.98/10,384.47
  6. Step 6: Final answer
    x = 8,152.03

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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.