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Finding the Fourth Proportional to 12,742.92, 17,585.46 and 7,706.28

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Solution

The fourth proportional to 12,742.92, 17,585.46 and 7,706.28 is: 10,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.92 : 17,585.46 = 7,706.28 : x
  2. Step 2: Convert to fraction form
    12,742.92/17,585.46 = 7,706.28/x
  3. Step 3: Cross multiply
    12,742.92x = 17,585.46 × 7,706.28
  4. Step 4: Simplify right side
    12,742.92x = 135,518,478.69
  5. Step 5: Solve for x
    x = 135,518,478.69/12,742.92
  6. Step 6: Final answer
    x = 10,634.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.