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Finding the Fourth Proportional to 7,868.67, 10,858.77 and 4,331.81

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Solution

The fourth proportional to 7,868.67, 10,858.77 and 4,331.81 is: 5,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.67 : 10,858.77 = 4,331.81 : x
  2. Step 2: Convert to fraction form
    7,868.67/10,858.77 = 4,331.81/x
  3. Step 3: Cross multiply
    7,868.67x = 10,858.77 × 4,331.81
  4. Step 4: Simplify right side
    7,868.67x = 47,038,074.18
  5. Step 5: Solve for x
    x = 47,038,074.18/7,868.67
  6. Step 6: Final answer
    x = 5,977.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.