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Finding the Fourth Proportional to 8,206.16, 11,325.32 and 4,894.16

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Solution

The fourth proportional to 8,206.16, 11,325.32 and 4,894.16 is: 6,754.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.16 : 11,325.32 = 4,894.16 : x
  2. Step 2: Convert to fraction form
    8,206.16/11,325.32 = 4,894.16/x
  3. Step 3: Cross multiply
    8,206.16x = 11,325.32 × 4,894.16
  4. Step 4: Simplify right side
    8,206.16x = 55,427,928.13
  5. Step 5: Solve for x
    x = 55,427,928.13/8,206.16
  6. Step 6: Final answer
    x = 6,754.43

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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.