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Finding the Fourth Proportional to 7,188.52, 9,920.94 and 4,205.36

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Solution

The fourth proportional to 7,188.52, 9,920.94 and 4,205.36 is: 5,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.52 : 9,920.94 = 4,205.36 : x
  2. Step 2: Convert to fraction form
    7,188.52/9,920.94 = 4,205.36/x
  3. Step 3: Cross multiply
    7,188.52x = 9,920.94 × 4,205.36
  4. Step 4: Simplify right side
    7,188.52x = 41,721,124.24
  5. Step 5: Solve for x
    x = 41,721,124.24/7,188.52
  6. Step 6: Final answer
    x = 5,803.85

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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.