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Finding the Fourth Proportional to 7,821.66, 11,732.49 and 4,742.94

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Solution

The fourth proportional to 7,821.66, 11,732.49 and 4,742.94 is: 7,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.66 : 11,732.49 = 4,742.94 : x
  2. Step 2: Convert to fraction form
    7,821.66/11,732.49 = 4,742.94/x
  3. Step 3: Cross multiply
    7,821.66x = 11,732.49 × 4,742.94
  4. Step 4: Simplify right side
    7,821.66x = 55,646,496.12
  5. Step 5: Solve for x
    x = 55,646,496.12/7,821.66
  6. Step 6: Final answer
    x = 7,114.41

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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.