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Finding the Fourth Proportional to 11,490.04, 17,225.34 and 6,805

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Solution

The fourth proportional to 11,490.04, 17,225.34 and 6,805 is: 10,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.04 : 17,225.34 = 6,805 : x
  2. Step 2: Convert to fraction form
    11,490.04/17,225.34 = 6,805/x
  3. Step 3: Cross multiply
    11,490.04x = 17,225.34 × 6,805
  4. Step 4: Simplify right side
    11,490.04x = 117,218,438.70
  5. Step 5: Solve for x
    x = 117,218,438.70/11,490.04
  6. Step 6: Final answer
    x = 10,201.74

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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.