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Finding the Fourth Proportional to 7,431.94, 11,146.08 and 3,485.92

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Solution

The fourth proportional to 7,431.94, 11,146.08 and 3,485.92 is: 5,228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.94 : 11,146.08 = 3,485.92 : x
  2. Step 2: Convert to fraction form
    7,431.94/11,146.08 = 3,485.92/x
  3. Step 3: Cross multiply
    7,431.94x = 11,146.08 × 3,485.92
  4. Step 4: Simplify right side
    7,431.94x = 38,854,343.19
  5. Step 5: Solve for x
    x = 38,854,343.19/7,431.94
  6. Step 6: Final answer
    x = 5,228.02

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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.