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Finding the Fourth Proportional to 10,721.75, 14,796.02 and 6,006.02

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Solution

The fourth proportional to 10,721.75, 14,796.02 and 6,006.02 is: 8,288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.75 : 14,796.02 = 6,006.02 : x
  2. Step 2: Convert to fraction form
    10,721.75/14,796.02 = 6,006.02/x
  3. Step 3: Cross multiply
    10,721.75x = 14,796.02 × 6,006.02
  4. Step 4: Simplify right side
    10,721.75x = 88,865,192.04
  5. Step 5: Solve for x
    x = 88,865,192.04/10,721.75
  6. Step 6: Final answer
    x = 8,288.31

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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.