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Finding the Fourth Proportional to 7,680.65, 11,502.53 and 4,383.75

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Solution

The fourth proportional to 7,680.65, 11,502.53 and 4,383.75 is: 6,565.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.65 : 11,502.53 = 4,383.75 : x
  2. Step 2: Convert to fraction form
    7,680.65/11,502.53 = 4,383.75/x
  3. Step 3: Cross multiply
    7,680.65x = 11,502.53 × 4,383.75
  4. Step 4: Simplify right side
    7,680.65x = 50,424,193.97
  5. Step 5: Solve for x
    x = 50,424,193.97/7,680.65
  6. Step 6: Final answer
    x = 6,565.09

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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.