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Finding the Fourth Proportional to 11,951.04, 17,928.64 and 5,024.96

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Solution

The fourth proportional to 11,951.04, 17,928.64 and 5,024.96 is: 7,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.04 : 17,928.64 = 5,024.96 : x
  2. Step 2: Convert to fraction form
    11,951.04/17,928.64 = 5,024.96/x
  3. Step 3: Cross multiply
    11,951.04x = 17,928.64 × 5,024.96
  4. Step 4: Simplify right side
    11,951.04x = 90,090,698.85
  5. Step 5: Solve for x
    x = 90,090,698.85/11,951.04
  6. Step 6: Final answer
    x = 7,538.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.