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Finding the Fourth Proportional to 11,660.64, 17,490.96 and 4,730.28

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Solution

The fourth proportional to 11,660.64, 17,490.96 and 4,730.28 is: 7,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.64 : 17,490.96 = 4,730.28 : x
  2. Step 2: Convert to fraction form
    11,660.64/17,490.96 = 4,730.28/x
  3. Step 3: Cross multiply
    11,660.64x = 17,490.96 × 4,730.28
  4. Step 4: Simplify right side
    11,660.64x = 82,737,138.27
  5. Step 5: Solve for x
    x = 82,737,138.27/11,660.64
  6. Step 6: Final answer
    x = 7,095.42

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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.