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Finding the Fourth Proportional to 6,880.64, 10,320.56 and 2,263.64

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Solution

The fourth proportional to 6,880.64, 10,320.56 and 2,263.64 is: 3,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.64 : 10,320.56 = 2,263.64 : x
  2. Step 2: Convert to fraction form
    6,880.64/10,320.56 = 2,263.64/x
  3. Step 3: Cross multiply
    6,880.64x = 10,320.56 × 2,263.64
  4. Step 4: Simplify right side
    6,880.64x = 23,362,021.12
  5. Step 5: Solve for x
    x = 23,362,021.12/6,880.64
  6. Step 6: Final answer
    x = 3,395.33

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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.