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Finding the Fourth Proportional to 7,687.63, 11,535.09 and 4,573.79

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Solution

The fourth proportional to 7,687.63, 11,535.09 and 4,573.79 is: 6,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.63 : 11,535.09 = 4,573.79 : x
  2. Step 2: Convert to fraction form
    7,687.63/11,535.09 = 4,573.79/x
  3. Step 3: Cross multiply
    7,687.63x = 11,535.09 × 4,573.79
  4. Step 4: Simplify right side
    7,687.63x = 52,759,050.45
  5. Step 5: Solve for x
    x = 52,759,050.45/7,687.63
  6. Step 6: Final answer
    x = 6,862.85

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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.