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Finding the Fourth Proportional to 8,712.16, 13,064.96 and 3,164.13

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Solution

The fourth proportional to 8,712.16, 13,064.96 and 3,164.13 is: 4,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.16 : 13,064.96 = 3,164.13 : x
  2. Step 2: Convert to fraction form
    8,712.16/13,064.96 = 3,164.13/x
  3. Step 3: Cross multiply
    8,712.16x = 13,064.96 × 3,164.13
  4. Step 4: Simplify right side
    8,712.16x = 41,339,239.80
  5. Step 5: Solve for x
    x = 41,339,239.80/8,712.16
  6. Step 6: Final answer
    x = 4,745.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.