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Finding the Fourth Proportional to 7,821.40, 10,795.44 and 4,835.44

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Solution

The fourth proportional to 7,821.40, 10,795.44 and 4,835.44 is: 6,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.40 : 10,795.44 = 4,835.44 : x
  2. Step 2: Convert to fraction form
    7,821.40/10,795.44 = 4,835.44/x
  3. Step 3: Cross multiply
    7,821.40x = 10,795.44 × 4,835.44
  4. Step 4: Simplify right side
    7,821.40x = 52,200,702.39
  5. Step 5: Solve for x
    x = 52,200,702.39/7,821.40
  6. Step 6: Final answer
    x = 6,674.09

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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.