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Finding the Fourth Proportional to 8,019.24, 11,064.06 and 4,661.43

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Solution

The fourth proportional to 8,019.24, 11,064.06 and 4,661.43 is: 6,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.24 : 11,064.06 = 4,661.43 : x
  2. Step 2: Convert to fraction form
    8,019.24/11,064.06 = 4,661.43/x
  3. Step 3: Cross multiply
    8,019.24x = 11,064.06 × 4,661.43
  4. Step 4: Simplify right side
    8,019.24x = 51,574,341.21
  5. Step 5: Solve for x
    x = 51,574,341.21/8,019.24
  6. Step 6: Final answer
    x = 6,431.33

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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.