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Finding the Fourth Proportional to 7,858.81, 11,773.23 and 4,048.57

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Solution

The fourth proportional to 7,858.81, 11,773.23 and 4,048.57 is: 6,065.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.81 : 11,773.23 = 4,048.57 : x
  2. Step 2: Convert to fraction form
    7,858.81/11,773.23 = 4,048.57/x
  3. Step 3: Cross multiply
    7,858.81x = 11,773.23 × 4,048.57
  4. Step 4: Simplify right side
    7,858.81x = 47,664,745.78
  5. Step 5: Solve for x
    x = 47,664,745.78/7,858.81
  6. Step 6: Final answer
    x = 6,065.14

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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.