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Finding the Fourth Proportional to 12,511.88, 17,266.46 and 6,846.69

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Solution

The fourth proportional to 12,511.88, 17,266.46 and 6,846.69 is: 9,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.88 : 17,266.46 = 6,846.69 : x
  2. Step 2: Convert to fraction form
    12,511.88/17,266.46 = 6,846.69/x
  3. Step 3: Cross multiply
    12,511.88x = 17,266.46 × 6,846.69
  4. Step 4: Simplify right side
    12,511.88x = 118,218,099.02
  5. Step 5: Solve for x
    x = 118,218,099.02/12,511.88
  6. Step 6: Final answer
    x = 9,448.47

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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.