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Finding the Fourth Proportional to 10,712.58, 14,783.34 and 5,996.85

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Solution

The fourth proportional to 10,712.58, 14,783.34 and 5,996.85 is: 8,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.58 : 14,783.34 = 5,996.85 : x
  2. Step 2: Convert to fraction form
    10,712.58/14,783.34 = 5,996.85/x
  3. Step 3: Cross multiply
    10,712.58x = 14,783.34 × 5,996.85
  4. Step 4: Simplify right side
    10,712.58x = 88,653,472.48
  5. Step 5: Solve for x
    x = 88,653,472.48/10,712.58
  6. Step 6: Final answer
    x = 8,275.64

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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.