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Finding the Fourth Proportional to 11,677.36, 17,518.68 and 3,886.48

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Solution

The fourth proportional to 11,677.36, 17,518.68 and 3,886.48 is: 5,830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.36 : 17,518.68 = 3,886.48 : x
  2. Step 2: Convert to fraction form
    11,677.36/17,518.68 = 3,886.48/x
  3. Step 3: Cross multiply
    11,677.36x = 17,518.68 × 3,886.48
  4. Step 4: Simplify right side
    11,677.36x = 68,085,999.45
  5. Step 5: Solve for x
    x = 68,085,999.45/11,677.36
  6. Step 6: Final answer
    x = 5,830.60

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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.