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Finding the Fourth Proportional to 7,111.87, 10,665.07 and 3,415.84

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Solution

The fourth proportional to 7,111.87, 10,665.07 and 3,415.84 is: 5,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.87 : 10,665.07 = 3,415.84 : x
  2. Step 2: Convert to fraction form
    7,111.87/10,665.07 = 3,415.84/x
  3. Step 3: Cross multiply
    7,111.87x = 10,665.07 × 3,415.84
  4. Step 4: Simplify right side
    7,111.87x = 36,430,137.51
  5. Step 5: Solve for x
    x = 36,430,137.51/7,111.87
  6. Step 6: Final answer
    x = 5,122.44

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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.