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Finding the Fourth Proportional to 7,478.04, 11,223.96 and 3,782.82

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Solution

The fourth proportional to 7,478.04, 11,223.96 and 3,782.82 is: 5,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.04 : 11,223.96 = 3,782.82 : x
  2. Step 2: Convert to fraction form
    7,478.04/11,223.96 = 3,782.82/x
  3. Step 3: Cross multiply
    7,478.04x = 11,223.96 × 3,782.82
  4. Step 4: Simplify right side
    7,478.04x = 42,458,220.37
  5. Step 5: Solve for x
    x = 42,458,220.37/7,478.04
  6. Step 6: Final answer
    x = 5,677.72

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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.