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Finding the Fourth Proportional to 7,975.26, 11,004.26 and 4,829.63

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Solution

The fourth proportional to 7,975.26, 11,004.26 and 4,829.63 is: 6,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.26 : 11,004.26 = 4,829.63 : x
  2. Step 2: Convert to fraction form
    7,975.26/11,004.26 = 4,829.63/x
  3. Step 3: Cross multiply
    7,975.26x = 11,004.26 × 4,829.63
  4. Step 4: Simplify right side
    7,975.26x = 53,146,425.05
  5. Step 5: Solve for x
    x = 53,146,425.05/7,975.26
  6. Step 6: Final answer
    x = 6,663.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.