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Finding the Fourth Proportional to 7,571.96, 11,359.62 and 2,307.44

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Solution

The fourth proportional to 7,571.96, 11,359.62 and 2,307.44 is: 3,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.96 : 11,359.62 = 2,307.44 : x
  2. Step 2: Convert to fraction form
    7,571.96/11,359.62 = 2,307.44/x
  3. Step 3: Cross multiply
    7,571.96x = 11,359.62 × 2,307.44
  4. Step 4: Simplify right side
    7,571.96x = 26,211,599.58
  5. Step 5: Solve for x
    x = 26,211,599.58/7,571.96
  6. Step 6: Final answer
    x = 3,461.67

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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.