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Finding the Fourth Proportional to 7,899.36, 10,894.52 and 5,914.64

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Solution

The fourth proportional to 7,899.36, 10,894.52 and 5,914.64 is: 8,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.36 : 10,894.52 = 5,914.64 : x
  2. Step 2: Convert to fraction form
    7,899.36/10,894.52 = 5,914.64/x
  3. Step 3: Cross multiply
    7,899.36x = 10,894.52 × 5,914.64
  4. Step 4: Simplify right side
    7,899.36x = 64,437,163.77
  5. Step 5: Solve for x
    x = 64,437,163.77/7,899.36
  6. Step 6: Final answer
    x = 8,157.26

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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.