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Finding the Fourth Proportional to 8,435.97, 12,653.46 and 2,592.54

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Solution

The fourth proportional to 8,435.97, 12,653.46 and 2,592.54 is: 3,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.97 : 12,653.46 = 2,592.54 : x
  2. Step 2: Convert to fraction form
    8,435.97/12,653.46 = 2,592.54/x
  3. Step 3: Cross multiply
    8,435.97x = 12,653.46 × 2,592.54
  4. Step 4: Simplify right side
    8,435.97x = 32,804,601.19
  5. Step 5: Solve for x
    x = 32,804,601.19/8,435.97
  6. Step 6: Final answer
    x = 3,888.66

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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.