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Finding the Fourth Proportional to 7,707.74, 11,560.32 and 2,776.46

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Solution

The fourth proportional to 7,707.74, 11,560.32 and 2,776.46 is: 4,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.74 : 11,560.32 = 2,776.46 : x
  2. Step 2: Convert to fraction form
    7,707.74/11,560.32 = 2,776.46/x
  3. Step 3: Cross multiply
    7,707.74x = 11,560.32 × 2,776.46
  4. Step 4: Simplify right side
    7,707.74x = 32,096,766.07
  5. Step 5: Solve for x
    x = 32,096,766.07/7,707.74
  6. Step 6: Final answer
    x = 4,164.23

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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.