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Finding the Fourth Proportional to 10,183.51, 14,054.24 and 5,708.02

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Solution

The fourth proportional to 10,183.51, 14,054.24 and 5,708.02 is: 7,877.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.51 : 14,054.24 = 5,708.02 : x
  2. Step 2: Convert to fraction form
    10,183.51/14,054.24 = 5,708.02/x
  3. Step 3: Cross multiply
    10,183.51x = 14,054.24 × 5,708.02
  4. Step 4: Simplify right side
    10,183.51x = 80,221,883.00
  5. Step 5: Solve for x
    x = 80,221,883.00/10,183.51
  6. Step 6: Final answer
    x = 7,877.63

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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.