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Finding the Fourth Proportional to 6,182.42, 8,527.07 and 4,294.00

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Solution

The fourth proportional to 6,182.42, 8,527.07 and 4,294.00 is: 5,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.42 : 8,527.07 = 4,294.00 : x
  2. Step 2: Convert to fraction form
    6,182.42/8,527.07 = 4,294.00/x
  3. Step 3: Cross multiply
    6,182.42x = 8,527.07 × 4,294.00
  4. Step 4: Simplify right side
    6,182.42x = 36,615,195.94
  5. Step 5: Solve for x
    x = 36,615,195.94/6,182.42
  6. Step 6: Final answer
    x = 5,922.47

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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.