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Finding the Fourth Proportional to 7,868.56, 10,858.65 and 4,331.77

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Solution

The fourth proportional to 7,868.56, 10,858.65 and 4,331.77 is: 5,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.56 : 10,858.65 = 4,331.77 : x
  2. Step 2: Convert to fraction form
    7,868.56/10,858.65 = 4,331.77/x
  3. Step 3: Cross multiply
    7,868.56x = 10,858.65 × 4,331.77
  4. Step 4: Simplify right side
    7,868.56x = 47,037,143.10
  5. Step 5: Solve for x
    x = 47,037,143.10/7,868.56
  6. Step 6: Final answer
    x = 5,977.86

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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.