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Finding the Fourth Proportional to 11,636.34, 17,448.30 and 6,076.23

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Solution

The fourth proportional to 11,636.34, 17,448.30 and 6,076.23 is: 9,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.34 : 17,448.30 = 6,076.23 : x
  2. Step 2: Convert to fraction form
    11,636.34/17,448.30 = 6,076.23/x
  3. Step 3: Cross multiply
    11,636.34x = 17,448.30 × 6,076.23
  4. Step 4: Simplify right side
    11,636.34x = 106,019,883.91
  5. Step 5: Solve for x
    x = 106,019,883.91/11,636.34
  6. Step 6: Final answer
    x = 9,111.10

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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.