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Finding the Fourth Proportional to 7,883.70, 11,825.55 and 7,397.70

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Solution

The fourth proportional to 7,883.70, 11,825.55 and 7,397.70 is: 11,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.70 : 11,825.55 = 7,397.70 : x
  2. Step 2: Convert to fraction form
    7,883.70/11,825.55 = 7,397.70/x
  3. Step 3: Cross multiply
    7,883.70x = 11,825.55 × 7,397.70
  4. Step 4: Simplify right side
    7,883.70x = 87,481,871.24
  5. Step 5: Solve for x
    x = 87,481,871.24/7,883.70
  6. Step 6: Final answer
    x = 11,096.55

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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.