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Finding the Fourth Proportional to 7,681.31, 10,596.97 and 4,696.19

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Solution

The fourth proportional to 7,681.31, 10,596.97 and 4,696.19 is: 6,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.31 : 10,596.97 = 4,696.19 : x
  2. Step 2: Convert to fraction form
    7,681.31/10,596.97 = 4,696.19/x
  3. Step 3: Cross multiply
    7,681.31x = 10,596.97 × 4,696.19
  4. Step 4: Simplify right side
    7,681.31x = 49,765,384.54
  5. Step 5: Solve for x
    x = 49,765,384.54/7,681.31
  6. Step 6: Final answer
    x = 6,478.76

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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.