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Finding the Fourth Proportional to 10,706.52, 14,776.02 and 5,991.24

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Solution

The fourth proportional to 10,706.52, 14,776.02 and 5,991.24 is: 8,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.52 : 14,776.02 = 5,991.24 : x
  2. Step 2: Convert to fraction form
    10,706.52/14,776.02 = 5,991.24/x
  3. Step 3: Cross multiply
    10,706.52x = 14,776.02 × 5,991.24
  4. Step 4: Simplify right side
    10,706.52x = 88,526,682.06
  5. Step 5: Solve for x
    x = 88,526,682.06/10,706.52
  6. Step 6: Final answer
    x = 8,268.48

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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.