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Finding the Fourth Proportional to 10,721.57, 14,796.20 and 6,005.88

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Solution

The fourth proportional to 10,721.57, 14,796.20 and 6,005.88 is: 8,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.57 : 14,796.20 = 6,005.88 : x
  2. Step 2: Convert to fraction form
    10,721.57/14,796.20 = 6,005.88/x
  3. Step 3: Cross multiply
    10,721.57x = 14,796.20 × 6,005.88
  4. Step 4: Simplify right side
    10,721.57x = 88,864,216.67
  5. Step 5: Solve for x
    x = 88,864,216.67/10,721.57
  6. Step 6: Final answer
    x = 8,288.36

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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.