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Finding the Fourth Proportional to 7,680.81, 10,596.28 and 4,695.69

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Solution

The fourth proportional to 7,680.81, 10,596.28 and 4,695.69 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.81 : 10,596.28 = 4,695.69 : x
  2. Step 2: Convert to fraction form
    7,680.81/10,596.28 = 4,695.69/x
  3. Step 3: Cross multiply
    7,680.81x = 10,596.28 × 4,695.69
  4. Step 4: Simplify right side
    7,680.81x = 49,756,846.03
  5. Step 5: Solve for x
    x = 49,756,846.03/7,680.81
  6. Step 6: Final answer
    x = 6,478.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.