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Finding the Fourth Proportional to 7,798.37, 10,762.49 and 4,442.27

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Solution

The fourth proportional to 7,798.37, 10,762.49 and 4,442.27 is: 6,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.37 : 10,762.49 = 4,442.27 : x
  2. Step 2: Convert to fraction form
    7,798.37/10,762.49 = 4,442.27/x
  3. Step 3: Cross multiply
    7,798.37x = 10,762.49 × 4,442.27
  4. Step 4: Simplify right side
    7,798.37x = 47,809,843.75
  5. Step 5: Solve for x
    x = 47,809,843.75/7,798.37
  6. Step 6: Final answer
    x = 6,130.75

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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.