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Finding the Fourth Proportional to 7,835.25, 10,806.52 and 4,852.74

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Solution

The fourth proportional to 7,835.25, 10,806.52 and 4,852.74 is: 6,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.25 : 10,806.52 = 4,852.74 : x
  2. Step 2: Convert to fraction form
    7,835.25/10,806.52 = 4,852.74/x
  3. Step 3: Cross multiply
    7,835.25x = 10,806.52 × 4,852.74
  4. Step 4: Simplify right side
    7,835.25x = 52,441,231.86
  5. Step 5: Solve for x
    x = 52,441,231.86/7,835.25
  6. Step 6: Final answer
    x = 6,692.99

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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.