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Finding the Fourth Proportional to 7,527.70, 11,293.35 and 3,142.72

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Solution

The fourth proportional to 7,527.70, 11,293.35 and 3,142.72 is: 4,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.70 : 11,293.35 = 3,142.72 : x
  2. Step 2: Convert to fraction form
    7,527.70/11,293.35 = 3,142.72/x
  3. Step 3: Cross multiply
    7,527.70x = 11,293.35 × 3,142.72
  4. Step 4: Simplify right side
    7,527.70x = 35,491,836.91
  5. Step 5: Solve for x
    x = 35,491,836.91/7,527.70
  6. Step 6: Final answer
    x = 4,714.83

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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.