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Finding the Fourth Proportional to 8,715.68, 13,069.42 and 3,165.14

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Solution

The fourth proportional to 8,715.68, 13,069.42 and 3,165.14 is: 4,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.68 : 13,069.42 = 3,165.14 : x
  2. Step 2: Convert to fraction form
    8,715.68/13,069.42 = 3,165.14/x
  3. Step 3: Cross multiply
    8,715.68x = 13,069.42 × 3,165.14
  4. Step 4: Simplify right side
    8,715.68x = 41,366,544.02
  5. Step 5: Solve for x
    x = 41,366,544.02/8,715.68
  6. Step 6: Final answer
    x = 4,746.22

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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.