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Finding the Fourth Proportional to 7,640.84, 11,453.16 and 4,858.76

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Solution

The fourth proportional to 7,640.84, 11,453.16 and 4,858.76 is: 7,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.84 : 11,453.16 = 4,858.76 : x
  2. Step 2: Convert to fraction form
    7,640.84/11,453.16 = 4,858.76/x
  3. Step 3: Cross multiply
    7,640.84x = 11,453.16 × 4,858.76
  4. Step 4: Simplify right side
    7,640.84x = 55,648,155.68
  5. Step 5: Solve for x
    x = 55,648,155.68/7,640.84
  6. Step 6: Final answer
    x = 7,282.99

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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.