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Finding the Fourth Proportional to 7,639.84, 11,460.11 and 2,093.75

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Solution

The fourth proportional to 7,639.84, 11,460.11 and 2,093.75 is: 3,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.84 : 11,460.11 = 2,093.75 : x
  2. Step 2: Convert to fraction form
    7,639.84/11,460.11 = 2,093.75/x
  3. Step 3: Cross multiply
    7,639.84x = 11,460.11 × 2,093.75
  4. Step 4: Simplify right side
    7,639.84x = 23,994,586.41
  5. Step 5: Solve for x
    x = 23,994,586.41/7,639.84
  6. Step 6: Final answer
    x = 3,140.72

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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.