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Finding the Fourth Proportional to 10,722.66, 14,796.45 and 6,006.30

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Solution

The fourth proportional to 10,722.66, 14,796.45 and 6,006.30 is: 8,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.66 : 14,796.45 = 6,006.30 : x
  2. Step 2: Convert to fraction form
    10,722.66/14,796.45 = 6,006.30/x
  3. Step 3: Cross multiply
    10,722.66x = 14,796.45 × 6,006.30
  4. Step 4: Simplify right side
    10,722.66x = 88,871,917.64
  5. Step 5: Solve for x
    x = 88,871,917.64/10,722.66
  6. Step 6: Final answer
    x = 8,288.23

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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.