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Finding the Fourth Proportional to 7,878.64, 11,809.32 and 3,766

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Solution

The fourth proportional to 7,878.64, 11,809.32 and 3,766 is: 5,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.64 : 11,809.32 = 3,766 : x
  2. Step 2: Convert to fraction form
    7,878.64/11,809.32 = 3,766/x
  3. Step 3: Cross multiply
    7,878.64x = 11,809.32 × 3,766
  4. Step 4: Simplify right side
    7,878.64x = 44,473,899.12
  5. Step 5: Solve for x
    x = 44,473,899.12/7,878.64
  6. Step 6: Final answer
    x = 5,644.87

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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.