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Finding the Fourth Proportional to 11,592.81, 17,390.43 and 3,802.23

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Solution

The fourth proportional to 11,592.81, 17,390.43 and 3,802.23 is: 5,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592.81 : 17,390.43 = 3,802.23 : x
  2. Step 2: Convert to fraction form
    11,592.81/17,390.43 = 3,802.23/x
  3. Step 3: Cross multiply
    11,592.81x = 17,390.43 × 3,802.23
  4. Step 4: Simplify right side
    11,592.81x = 66,122,414.66
  5. Step 5: Solve for x
    x = 66,122,414.66/11,592.81
  6. Step 6: Final answer
    x = 5,703.74

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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.