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Finding the Fourth Proportional to 11,849.79, 17,770.58 and 6,592.79

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Solution

The fourth proportional to 11,849.79, 17,770.58 and 6,592.79 is: 9,886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,849.79 : 17,770.58 = 6,592.79 : x
  2. Step 2: Convert to fraction form
    11,849.79/17,770.58 = 6,592.79/x
  3. Step 3: Cross multiply
    11,849.79x = 17,770.58 × 6,592.79
  4. Step 4: Simplify right side
    11,849.79x = 117,157,763.03
  5. Step 5: Solve for x
    x = 117,157,763.03/11,849.79
  6. Step 6: Final answer
    x = 9,886.91

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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.