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Finding the Fourth Proportional to 7,188.75, 9,920.48 and 4,045.95

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Solution

The fourth proportional to 7,188.75, 9,920.48 and 4,045.95 is: 5,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.75 : 9,920.48 = 4,045.95 : x
  2. Step 2: Convert to fraction form
    7,188.75/9,920.48 = 4,045.95/x
  3. Step 3: Cross multiply
    7,188.75x = 9,920.48 × 4,045.95
  4. Step 4: Simplify right side
    7,188.75x = 40,137,745.83
  5. Step 5: Solve for x
    x = 40,137,745.83/7,188.75
  6. Step 6: Final answer
    x = 5,583.41

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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.