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Finding the Fourth Proportional to 7,904.46, 11,856.42 and 3,746.46

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Solution

The fourth proportional to 7,904.46, 11,856.42 and 3,746.46 is: 5,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.46 : 11,856.42 = 3,746.46 : x
  2. Step 2: Convert to fraction form
    7,904.46/11,856.42 = 3,746.46/x
  3. Step 3: Cross multiply
    7,904.46x = 11,856.42 × 3,746.46
  4. Step 4: Simplify right side
    7,904.46x = 44,419,603.27
  5. Step 5: Solve for x
    x = 44,419,603.27/7,904.46
  6. Step 6: Final answer
    x = 5,619.56

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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.