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Finding the Fourth Proportional to 7,775.37, 10,731.75 and 4,942.19

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Solution

The fourth proportional to 7,775.37, 10,731.75 and 4,942.19 is: 6,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.37 : 10,731.75 = 4,942.19 : x
  2. Step 2: Convert to fraction form
    7,775.37/10,731.75 = 4,942.19/x
  3. Step 3: Cross multiply
    7,775.37x = 10,731.75 × 4,942.19
  4. Step 4: Simplify right side
    7,775.37x = 53,038,374.36
  5. Step 5: Solve for x
    x = 53,038,374.36/7,775.37
  6. Step 6: Final answer
    x = 6,821.33

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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.