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Finding the Fourth Proportional to 8,183.58, 11,293.42 and 4,646.87

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Solution

The fourth proportional to 8,183.58, 11,293.42 and 4,646.87 is: 6,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.58 : 11,293.42 = 4,646.87 : x
  2. Step 2: Convert to fraction form
    8,183.58/11,293.42 = 4,646.87/x
  3. Step 3: Cross multiply
    8,183.58x = 11,293.42 × 4,646.87
  4. Step 4: Simplify right side
    8,183.58x = 52,478,986.51
  5. Step 5: Solve for x
    x = 52,478,986.51/8,183.58
  6. Step 6: Final answer
    x = 6,412.72

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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.