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Finding the Fourth Proportional to 11,770.79, 17,656.22 and 2,886.16

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Solution

The fourth proportional to 11,770.79, 17,656.22 and 2,886.16 is: 4,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.79 : 17,656.22 = 2,886.16 : x
  2. Step 2: Convert to fraction form
    11,770.79/17,656.22 = 2,886.16/x
  3. Step 3: Cross multiply
    11,770.79x = 17,656.22 × 2,886.16
  4. Step 4: Simplify right side
    11,770.79x = 50,958,683.55
  5. Step 5: Solve for x
    x = 50,958,683.55/11,770.79
  6. Step 6: Final answer
    x = 4,329.25

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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.