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Finding the Fourth Proportional to 8,266.32, 11,406.94 and 4,680.25

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Solution

The fourth proportional to 8,266.32, 11,406.94 and 4,680.25 is: 6,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.32 : 11,406.94 = 4,680.25 : x
  2. Step 2: Convert to fraction form
    8,266.32/11,406.94 = 4,680.25/x
  3. Step 3: Cross multiply
    8,266.32x = 11,406.94 × 4,680.25
  4. Step 4: Simplify right side
    8,266.32x = 53,387,333.49
  5. Step 5: Solve for x
    x = 53,387,333.49/8,266.32
  6. Step 6: Final answer
    x = 6,458.41

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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.