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Finding the Fourth Proportional to 11,657.46, 17,488.77 and 4,261.91

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Solution

The fourth proportional to 11,657.46, 17,488.77 and 4,261.91 is: 6,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.46 : 17,488.77 = 4,261.91 : x
  2. Step 2: Convert to fraction form
    11,657.46/17,488.77 = 4,261.91/x
  3. Step 3: Cross multiply
    11,657.46x = 17,488.77 × 4,261.91
  4. Step 4: Simplify right side
    11,657.46x = 74,535,563.75
  5. Step 5: Solve for x
    x = 74,535,563.75/11,657.46
  6. Step 6: Final answer
    x = 6,393.81

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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.