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Finding the Fourth Proportional to 8,743.93, 12,064.67 and 5,206.45

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Solution

The fourth proportional to 8,743.93, 12,064.67 and 5,206.45 is: 7,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.93 : 12,064.67 = 5,206.45 : x
  2. Step 2: Convert to fraction form
    8,743.93/12,064.67 = 5,206.45/x
  3. Step 3: Cross multiply
    8,743.93x = 12,064.67 × 5,206.45
  4. Step 4: Simplify right side
    8,743.93x = 62,814,101.12
  5. Step 5: Solve for x
    x = 62,814,101.12/8,743.93
  6. Step 6: Final answer
    x = 7,183.74

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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.