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Finding the Fourth Proportional to 12,912.72, 19,363.68 and 5,982

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Solution

The fourth proportional to 12,912.72, 19,363.68 and 5,982 is: 8,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.72 : 19,363.68 = 5,982 : x
  2. Step 2: Convert to fraction form
    12,912.72/19,363.68 = 5,982/x
  3. Step 3: Cross multiply
    12,912.72x = 19,363.68 × 5,982
  4. Step 4: Simplify right side
    12,912.72x = 115,833,533.76
  5. Step 5: Solve for x
    x = 115,833,533.76/12,912.72
  6. Step 6: Final answer
    x = 8,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.