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Finding the Fourth Proportional to 7,477.87, 11,223.75 and 3,782.71

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Solution

The fourth proportional to 7,477.87, 11,223.75 and 3,782.71 is: 5,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.87 : 11,223.75 = 3,782.71 : x
  2. Step 2: Convert to fraction form
    7,477.87/11,223.75 = 3,782.71/x
  3. Step 3: Cross multiply
    7,477.87x = 11,223.75 × 3,782.71
  4. Step 4: Simplify right side
    7,477.87x = 42,456,191.36
  5. Step 5: Solve for x
    x = 42,456,191.36/7,477.87
  6. Step 6: Final answer
    x = 5,677.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.