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Finding the Fourth Proportional to 8,490.30, 12,735.46 and 2,646.92

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Solution

The fourth proportional to 8,490.30, 12,735.46 and 2,646.92 is: 3,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.30 : 12,735.46 = 2,646.92 : x
  2. Step 2: Convert to fraction form
    8,490.30/12,735.46 = 2,646.92/x
  3. Step 3: Cross multiply
    8,490.30x = 12,735.46 × 2,646.92
  4. Step 4: Simplify right side
    8,490.30x = 33,709,743.78
  5. Step 5: Solve for x
    x = 33,709,743.78/8,490.30
  6. Step 6: Final answer
    x = 3,970.38

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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.