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Finding the Fourth Proportional to 7,907.32, 11,863.04 and 2,977

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Solution

The fourth proportional to 7,907.32, 11,863.04 and 2,977 is: 4,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.32 : 11,863.04 = 2,977 : x
  2. Step 2: Convert to fraction form
    7,907.32/11,863.04 = 2,977/x
  3. Step 3: Cross multiply
    7,907.32x = 11,863.04 × 2,977
  4. Step 4: Simplify right side
    7,907.32x = 35,316,270.08
  5. Step 5: Solve for x
    x = 35,316,270.08/7,907.32
  6. Step 6: Final answer
    x = 4,466.28

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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.