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Finding the Fourth Proportional to 7,840.68, 11,750.04 and 5,639.04

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Solution

The fourth proportional to 7,840.68, 11,750.04 and 5,639.04 is: 8,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.68 : 11,750.04 = 5,639.04 : x
  2. Step 2: Convert to fraction form
    7,840.68/11,750.04 = 5,639.04/x
  3. Step 3: Cross multiply
    7,840.68x = 11,750.04 × 5,639.04
  4. Step 4: Simplify right side
    7,840.68x = 66,258,945.56
  5. Step 5: Solve for x
    x = 66,258,945.56/7,840.68
  6. Step 6: Final answer
    x = 8,450.66

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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.