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Finding the Fourth Proportional to 8,706.42, 13,064.82 and 3,160.20

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Solution

The fourth proportional to 8,706.42, 13,064.82 and 3,160.20 is: 4,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.42 : 13,064.82 = 3,160.20 : x
  2. Step 2: Convert to fraction form
    8,706.42/13,064.82 = 3,160.20/x
  3. Step 3: Cross multiply
    8,706.42x = 13,064.82 × 3,160.20
  4. Step 4: Simplify right side
    8,706.42x = 41,287,416.70
  5. Step 5: Solve for x
    x = 41,287,416.70/8,706.42
  6. Step 6: Final answer
    x = 4,742.18

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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.