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Finding the Fourth Proportional to 11,644.08, 17,460.30 and 5,803.92

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Solution

The fourth proportional to 11,644.08, 17,460.30 and 5,803.92 is: 8,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.08 : 17,460.30 = 5,803.92 : x
  2. Step 2: Convert to fraction form
    11,644.08/17,460.30 = 5,803.92/x
  3. Step 3: Cross multiply
    11,644.08x = 17,460.30 × 5,803.92
  4. Step 4: Simplify right side
    11,644.08x = 101,338,184.38
  5. Step 5: Solve for x
    x = 101,338,184.38/11,644.08
  6. Step 6: Final answer
    x = 8,702.98

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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.