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Finding the Fourth Proportional to 7,770.58, 11,656.08 and 2,224.42

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Solution

The fourth proportional to 7,770.58, 11,656.08 and 2,224.42 is: 3,336.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.58 : 11,656.08 = 2,224.42 : x
  2. Step 2: Convert to fraction form
    7,770.58/11,656.08 = 2,224.42/x
  3. Step 3: Cross multiply
    7,770.58x = 11,656.08 × 2,224.42
  4. Step 4: Simplify right side
    7,770.58x = 25,928,017.47
  5. Step 5: Solve for x
    x = 25,928,017.47/7,770.58
  6. Step 6: Final answer
    x = 3,336.69

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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.