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Finding the Fourth Proportional to 8,685.84, 13,026 and 3,138.45

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Solution

The fourth proportional to 8,685.84, 13,026 and 3,138.45 is: 4,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,685.84 : 13,026 = 3,138.45 : x
  2. Step 2: Convert to fraction form
    8,685.84/13,026 = 3,138.45/x
  3. Step 3: Cross multiply
    8,685.84x = 13,026 × 3,138.45
  4. Step 4: Simplify right side
    8,685.84x = 40,881,449.70
  5. Step 5: Solve for x
    x = 40,881,449.70/8,685.84
  6. Step 6: Final answer
    x = 4,706.68

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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.