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Finding the Fourth Proportional to 7,452.84, 11,182.31 and 3,941.90

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Solution

The fourth proportional to 7,452.84, 11,182.31 and 3,941.90 is: 5,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.84 : 11,182.31 = 3,941.90 : x
  2. Step 2: Convert to fraction form
    7,452.84/11,182.31 = 3,941.90/x
  3. Step 3: Cross multiply
    7,452.84x = 11,182.31 × 3,941.90
  4. Step 4: Simplify right side
    7,452.84x = 44,079,547.79
  5. Step 5: Solve for x
    x = 44,079,547.79/7,452.84
  6. Step 6: Final answer
    x = 5,914.46

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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.