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Finding the Fourth Proportional to 7,925.36, 11,880.20 and 3,758

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Solution

The fourth proportional to 7,925.36, 11,880.20 and 3,758 is: 5,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.36 : 11,880.20 = 3,758 : x
  2. Step 2: Convert to fraction form
    7,925.36/11,880.20 = 3,758/x
  3. Step 3: Cross multiply
    7,925.36x = 11,880.20 × 3,758
  4. Step 4: Simplify right side
    7,925.36x = 44,645,791.60
  5. Step 5: Solve for x
    x = 44,645,791.60/7,925.36
  6. Step 6: Final answer
    x = 5,633.28

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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.