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Finding the Fourth Proportional to 7,680.64, 11,477.22 and 5,768.50

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Solution

The fourth proportional to 7,680.64, 11,477.22 and 5,768.50 is: 8,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.64 : 11,477.22 = 5,768.50 : x
  2. Step 2: Convert to fraction form
    7,680.64/11,477.22 = 5,768.50/x
  3. Step 3: Cross multiply
    7,680.64x = 11,477.22 × 5,768.50
  4. Step 4: Simplify right side
    7,680.64x = 66,206,343.57
  5. Step 5: Solve for x
    x = 66,206,343.57/7,680.64
  6. Step 6: Final answer
    x = 8,619.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.