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Finding the Fourth Proportional to 8,183, 11,296.32 and 5,041.01

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Solution

The fourth proportional to 8,183, 11,296.32 and 5,041.01 is: 6,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 11,296.32 = 5,041.01 : x
  2. Step 2: Convert to fraction form
    8,183/11,296.32 = 5,041.01/x
  3. Step 3: Cross multiply
    8,183x = 11,296.32 × 5,041.01
  4. Step 4: Simplify right side
    8,183x = 56,944,862.08
  5. Step 5: Solve for x
    x = 56,944,862.08/8,183
  6. Step 6: Final answer
    x = 6,958.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.