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Finding the Fourth Proportional to 7,768.78, 10,716.70 and 4,624.36

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Solution

The fourth proportional to 7,768.78, 10,716.70 and 4,624.36 is: 6,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.78 : 10,716.70 = 4,624.36 : x
  2. Step 2: Convert to fraction form
    7,768.78/10,716.70 = 4,624.36/x
  3. Step 3: Cross multiply
    7,768.78x = 10,716.70 × 4,624.36
  4. Step 4: Simplify right side
    7,768.78x = 49,557,813.67
  5. Step 5: Solve for x
    x = 49,557,813.67/7,768.78
  6. Step 6: Final answer
    x = 6,379.10

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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.