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Finding the Fourth Proportional to 7,511.94, 11,257.74 and 6,109.56

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Solution

The fourth proportional to 7,511.94, 11,257.74 and 6,109.56 is: 9,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.94 : 11,257.74 = 6,109.56 : x
  2. Step 2: Convert to fraction form
    7,511.94/11,257.74 = 6,109.56/x
  3. Step 3: Cross multiply
    7,511.94x = 11,257.74 × 6,109.56
  4. Step 4: Simplify right side
    7,511.94x = 68,779,837.99
  5. Step 5: Solve for x
    x = 68,779,837.99/7,511.94
  6. Step 6: Final answer
    x = 9,156.07

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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.