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Finding the Fourth Proportional to 11,646.83, 16,071.80 and 6,611.15

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Solution

The fourth proportional to 11,646.83, 16,071.80 and 6,611.15 is: 9,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.83 : 16,071.80 = 6,611.15 : x
  2. Step 2: Convert to fraction form
    11,646.83/16,071.80 = 6,611.15/x
  3. Step 3: Cross multiply
    11,646.83x = 16,071.80 × 6,611.15
  4. Step 4: Simplify right side
    11,646.83x = 106,253,000.21
  5. Step 5: Solve for x
    x = 106,253,000.21/11,646.83
  6. Step 6: Final answer
    x = 9,122.92

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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.