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Finding the Fourth Proportional to 7,672.04, 10,584.72 and 5,021

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Solution

The fourth proportional to 7,672.04, 10,584.72 and 5,021 is: 6,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.04 : 10,584.72 = 5,021 : x
  2. Step 2: Convert to fraction form
    7,672.04/10,584.72 = 5,021/x
  3. Step 3: Cross multiply
    7,672.04x = 10,584.72 × 5,021
  4. Step 4: Simplify right side
    7,672.04x = 53,145,879.12
  5. Step 5: Solve for x
    x = 53,145,879.12/7,672.04
  6. Step 6: Final answer
    x = 6,927.22

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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.