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Finding the Fourth Proportional to 11,302.92, 15,611.13 and 10,646.82

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Solution

The fourth proportional to 11,302.92, 15,611.13 and 10,646.82 is: 14,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.92 : 15,611.13 = 10,646.82 : x
  2. Step 2: Convert to fraction form
    11,302.92/15,611.13 = 10,646.82/x
  3. Step 3: Cross multiply
    11,302.92x = 15,611.13 × 10,646.82
  4. Step 4: Simplify right side
    11,302.92x = 166,208,891.11
  5. Step 5: Solve for x
    x = 166,208,891.11/11,302.92
  6. Step 6: Final answer
    x = 14,704.95

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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.