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Finding the Fourth Proportional to 12,863.48, 19,298.64 and 5,468.36

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Solution

The fourth proportional to 12,863.48, 19,298.64 and 5,468.36 is: 8,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.48 : 19,298.64 = 5,468.36 : x
  2. Step 2: Convert to fraction form
    12,863.48/19,298.64 = 5,468.36/x
  3. Step 3: Cross multiply
    12,863.48x = 19,298.64 × 5,468.36
  4. Step 4: Simplify right side
    12,863.48x = 105,531,911.03
  5. Step 5: Solve for x
    x = 105,531,911.03/12,863.48
  6. Step 6: Final answer
    x = 8,203.99

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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.