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Finding the Fourth Proportional to 11,865.89, 17,802.40 and 3,546.17

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Solution

The fourth proportional to 11,865.89, 17,802.40 and 3,546.17 is: 5,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.89 : 17,802.40 = 3,546.17 : x
  2. Step 2: Convert to fraction form
    11,865.89/17,802.40 = 3,546.17/x
  3. Step 3: Cross multiply
    11,865.89x = 17,802.40 × 3,546.17
  4. Step 4: Simplify right side
    11,865.89x = 63,130,425.78
  5. Step 5: Solve for x
    x = 63,130,425.78/11,865.89
  6. Step 6: Final answer
    x = 5,320.33

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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.