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Finding the Fourth Proportional to 11,785.50, 17,675.34 and 7,043.02

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Solution

The fourth proportional to 11,785.50, 17,675.34 and 7,043.02 is: 10,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.50 : 17,675.34 = 7,043.02 : x
  2. Step 2: Convert to fraction form
    11,785.50/17,675.34 = 7,043.02/x
  3. Step 3: Cross multiply
    11,785.50x = 17,675.34 × 7,043.02
  4. Step 4: Simplify right side
    11,785.50x = 124,487,702.53
  5. Step 5: Solve for x
    x = 124,487,702.53/11,785.50
  6. Step 6: Final answer
    x = 10,562.78

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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.