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Finding the Fourth Proportional to 7,576, 11,364 and 2,104

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Solution

The fourth proportional to 7,576, 11,364 and 2,104 is: 3,156

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 11,364 = 2,104 : x
  2. Step 2: Convert to fraction form
    7,576/11,364 = 2,104/x
  3. Step 3: Cross multiply
    7,576x = 11,364 × 2,104
  4. Step 4: Simplify right side
    7,576x = 23,909,856
  5. Step 5: Solve for x
    x = 23,909,856/7,576
  6. Step 6: Final answer
    x = 3,156

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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.