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Finding the Fourth Proportional to 7,527.69, 11,292.30 and 3,827.61

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Solution

The fourth proportional to 7,527.69, 11,292.30 and 3,827.61 is: 5,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.69 : 11,292.30 = 3,827.61 : x
  2. Step 2: Convert to fraction form
    7,527.69/11,292.30 = 3,827.61/x
  3. Step 3: Cross multiply
    7,527.69x = 11,292.30 × 3,827.61
  4. Step 4: Simplify right side
    7,527.69x = 43,222,520.40
  5. Step 5: Solve for x
    x = 43,222,520.40/7,527.69
  6. Step 6: Final answer
    x = 5,741.80

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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.