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Finding the Fourth Proportional to 7,406.87, 11,106.14 and 2,473.83

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Solution

The fourth proportional to 7,406.87, 11,106.14 and 2,473.83 is: 3,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.87 : 11,106.14 = 2,473.83 : x
  2. Step 2: Convert to fraction form
    7,406.87/11,106.14 = 2,473.83/x
  3. Step 3: Cross multiply
    7,406.87x = 11,106.14 × 2,473.83
  4. Step 4: Simplify right side
    7,406.87x = 27,474,689.95
  5. Step 5: Solve for x
    x = 27,474,689.95/7,406.87
  6. Step 6: Final answer
    x = 3,709.35

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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.