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Finding the Fourth Proportional to 7,415.96, 11,124.09 and 3,466.14

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Solution

The fourth proportional to 7,415.96, 11,124.09 and 3,466.14 is: 5,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.96 : 11,124.09 = 3,466.14 : x
  2. Step 2: Convert to fraction form
    7,415.96/11,124.09 = 3,466.14/x
  3. Step 3: Cross multiply
    7,415.96x = 11,124.09 × 3,466.14
  4. Step 4: Simplify right side
    7,415.96x = 38,557,580.36
  5. Step 5: Solve for x
    x = 38,557,580.36/7,415.96
  6. Step 6: Final answer
    x = 5,199.27

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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.