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Finding the Fourth Proportional to 12,467.36, 17,204.28 and 6,878

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Solution

The fourth proportional to 12,467.36, 17,204.28 and 6,878 is: 9,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.36 : 17,204.28 = 6,878 : x
  2. Step 2: Convert to fraction form
    12,467.36/17,204.28 = 6,878/x
  3. Step 3: Cross multiply
    12,467.36x = 17,204.28 × 6,878
  4. Step 4: Simplify right side
    12,467.36x = 118,331,037.84
  5. Step 5: Solve for x
    x = 118,331,037.84/12,467.36
  6. Step 6: Final answer
    x = 9,491.27

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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.