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Finding the Fourth Proportional to 8,715.48, 13,069.12 and 3,164.91

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Solution

The fourth proportional to 8,715.48, 13,069.12 and 3,164.91 is: 4,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.48 : 13,069.12 = 3,164.91 : x
  2. Step 2: Convert to fraction form
    8,715.48/13,069.12 = 3,164.91/x
  3. Step 3: Cross multiply
    8,715.48x = 13,069.12 × 3,164.91
  4. Step 4: Simplify right side
    8,715.48x = 41,362,531.66
  5. Step 5: Solve for x
    x = 41,362,531.66/8,715.48
  6. Step 6: Final answer
    x = 4,745.87

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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.