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Finding the Fourth Proportional to 7,087.72, 10,618.74 and 3,964

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Solution

The fourth proportional to 7,087.72, 10,618.74 and 3,964 is: 5,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.72 : 10,618.74 = 3,964 : x
  2. Step 2: Convert to fraction form
    7,087.72/10,618.74 = 3,964/x
  3. Step 3: Cross multiply
    7,087.72x = 10,618.74 × 3,964
  4. Step 4: Simplify right side
    7,087.72x = 42,092,685.36
  5. Step 5: Solve for x
    x = 42,092,685.36/7,087.72
  6. Step 6: Final answer
    x = 5,938.82

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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.