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Finding the Fourth Proportional to 7,580.67, 11,367.82 and 4,466.94

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Solution

The fourth proportional to 7,580.67, 11,367.82 and 4,466.94 is: 6,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.67 : 11,367.82 = 4,466.94 : x
  2. Step 2: Convert to fraction form
    7,580.67/11,367.82 = 4,466.94/x
  3. Step 3: Cross multiply
    7,580.67x = 11,367.82 × 4,466.94
  4. Step 4: Simplify right side
    7,580.67x = 50,779,369.87
  5. Step 5: Solve for x
    x = 50,779,369.87/7,580.67
  6. Step 6: Final answer
    x = 6,698.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.