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Finding the Fourth Proportional to 11,646.25, 16,073.04 and 6,611.83

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Solution

The fourth proportional to 11,646.25, 16,073.04 and 6,611.83 is: 9,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.25 : 16,073.04 = 6,611.83 : x
  2. Step 2: Convert to fraction form
    11,646.25/16,073.04 = 6,611.83/x
  3. Step 3: Cross multiply
    11,646.25x = 16,073.04 × 6,611.83
  4. Step 4: Simplify right side
    11,646.25x = 106,272,208.06
  5. Step 5: Solve for x
    x = 106,272,208.06/11,646.25
  6. Step 6: Final answer
    x = 9,125.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.