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Finding the Fourth Proportional to 12,875.83, 17,772.92 and 7,843.30

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Solution

The fourth proportional to 12,875.83, 17,772.92 and 7,843.30 is: 10,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.83 : 17,772.92 = 7,843.30 : x
  2. Step 2: Convert to fraction form
    12,875.83/17,772.92 = 7,843.30/x
  3. Step 3: Cross multiply
    12,875.83x = 17,772.92 × 7,843.30
  4. Step 4: Simplify right side
    12,875.83x = 139,398,289.20
  5. Step 5: Solve for x
    x = 139,398,289.20/12,875.83
  6. Step 6: Final answer
    x = 10,826.36

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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.