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Finding the Fourth Proportional to 7,735.64, 11,604.08 and 2,471.36

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Solution

The fourth proportional to 7,735.64, 11,604.08 and 2,471.36 is: 3,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.64 : 11,604.08 = 2,471.36 : x
  2. Step 2: Convert to fraction form
    7,735.64/11,604.08 = 2,471.36/x
  3. Step 3: Cross multiply
    7,735.64x = 11,604.08 × 2,471.36
  4. Step 4: Simplify right side
    7,735.64x = 28,677,807.31
  5. Step 5: Solve for x
    x = 28,677,807.31/7,735.64
  6. Step 6: Final answer
    x = 3,707.23

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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.