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Finding the Fourth Proportional to 12,906.30, 19,360.50 and 5,510.91

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Solution

The fourth proportional to 12,906.30, 19,360.50 and 5,510.91 is: 8,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.30 : 19,360.50 = 5,510.91 : x
  2. Step 2: Convert to fraction form
    12,906.30/19,360.50 = 5,510.91/x
  3. Step 3: Cross multiply
    12,906.30x = 19,360.50 × 5,510.91
  4. Step 4: Simplify right side
    12,906.30x = 106,693,973.06
  5. Step 5: Solve for x
    x = 106,693,973.06/12,906.30
  6. Step 6: Final answer
    x = 8,266.81

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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.