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Finding the Fourth Proportional to 12,725, 19,087.86 and 3,491

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Solution

The fourth proportional to 12,725, 19,087.86 and 3,491 is: 5,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725 : 19,087.86 = 3,491 : x
  2. Step 2: Convert to fraction form
    12,725/19,087.86 = 3,491/x
  3. Step 3: Cross multiply
    12,725x = 19,087.86 × 3,491
  4. Step 4: Simplify right side
    12,725x = 66,635,719.26
  5. Step 5: Solve for x
    x = 66,635,719.26/12,725
  6. Step 6: Final answer
    x = 5,236.60

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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.