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Finding the Fourth Proportional to 10,712.70, 14,783.54 and 5,996.97

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Solution

The fourth proportional to 10,712.70, 14,783.54 and 5,996.97 is: 8,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.70 : 14,783.54 = 5,996.97 : x
  2. Step 2: Convert to fraction form
    10,712.70/14,783.54 = 5,996.97/x
  3. Step 3: Cross multiply
    10,712.70x = 14,783.54 × 5,996.97
  4. Step 4: Simplify right side
    10,712.70x = 88,656,415.89
  5. Step 5: Solve for x
    x = 88,656,415.89/10,712.70
  6. Step 6: Final answer
    x = 8,275.82

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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.