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Finding the Fourth Proportional to 8,490.89, 12,737.73 and 2,646.32

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Solution

The fourth proportional to 8,490.89, 12,737.73 and 2,646.32 is: 3,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.89 : 12,737.73 = 2,646.32 : x
  2. Step 2: Convert to fraction form
    8,490.89/12,737.73 = 2,646.32/x
  3. Step 3: Cross multiply
    8,490.89x = 12,737.73 × 2,646.32
  4. Step 4: Simplify right side
    8,490.89x = 33,708,109.65
  5. Step 5: Solve for x
    x = 33,708,109.65/8,490.89
  6. Step 6: Final answer
    x = 3,969.91

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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.