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Finding the Fourth Proportional to 7,705, 11,559.42 and 2,233

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Solution

The fourth proportional to 7,705, 11,559.42 and 2,233 is: 3,350.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705 : 11,559.42 = 2,233 : x
  2. Step 2: Convert to fraction form
    7,705/11,559.42 = 2,233/x
  3. Step 3: Cross multiply
    7,705x = 11,559.42 × 2,233
  4. Step 4: Simplify right side
    7,705x = 25,812,184.86
  5. Step 5: Solve for x
    x = 25,812,184.86/7,705
  6. Step 6: Final answer
    x = 3,350.06

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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.