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Finding the Fourth Proportional to 7,431.63, 11,147.52 and 1,884.83

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Solution

The fourth proportional to 7,431.63, 11,147.52 and 1,884.83 is: 2,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.63 : 11,147.52 = 1,884.83 : x
  2. Step 2: Convert to fraction form
    7,431.63/11,147.52 = 1,884.83/x
  3. Step 3: Cross multiply
    7,431.63x = 11,147.52 × 1,884.83
  4. Step 4: Simplify right side
    7,431.63x = 21,011,124.38
  5. Step 5: Solve for x
    x = 21,011,124.38/7,431.63
  6. Step 6: Final answer
    x = 2,827.26

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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.