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Finding the Fourth Proportional to 11,677.89, 17,503.89 and 4,654.88

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Solution

The fourth proportional to 11,677.89, 17,503.89 and 4,654.88 is: 6,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.89 : 17,503.89 = 4,654.88 : x
  2. Step 2: Convert to fraction form
    11,677.89/17,503.89 = 4,654.88/x
  3. Step 3: Cross multiply
    11,677.89x = 17,503.89 × 4,654.88
  4. Step 4: Simplify right side
    11,677.89x = 81,478,419.96
  5. Step 5: Solve for x
    x = 81,478,419.96/11,677.89
  6. Step 6: Final answer
    x = 6,977.15

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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.