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Finding the Fourth Proportional to 7,245.31, 9,998.66 and 5,653.75

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Solution

The fourth proportional to 7,245.31, 9,998.66 and 5,653.75 is: 7,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.31 : 9,998.66 = 5,653.75 : x
  2. Step 2: Convert to fraction form
    7,245.31/9,998.66 = 5,653.75/x
  3. Step 3: Cross multiply
    7,245.31x = 9,998.66 × 5,653.75
  4. Step 4: Simplify right side
    7,245.31x = 56,529,923.98
  5. Step 5: Solve for x
    x = 56,529,923.98/7,245.31
  6. Step 6: Final answer
    x = 7,802.28

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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.