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Finding the Fourth Proportional to 7,806.52, 10,768.62 and 4,660.84

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Solution

The fourth proportional to 7,806.52, 10,768.62 and 4,660.84 is: 6,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.52 : 10,768.62 = 4,660.84 : x
  2. Step 2: Convert to fraction form
    7,806.52/10,768.62 = 4,660.84/x
  3. Step 3: Cross multiply
    7,806.52x = 10,768.62 × 4,660.84
  4. Step 4: Simplify right side
    7,806.52x = 50,190,814.84
  5. Step 5: Solve for x
    x = 50,190,814.84/7,806.52
  6. Step 6: Final answer
    x = 6,429.35

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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.