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Finding the Fourth Proportional to 7,933.85, 11,897.70 and 4,234.06

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Solution

The fourth proportional to 7,933.85, 11,897.70 and 4,234.06 is: 6,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.85 : 11,897.70 = 4,234.06 : x
  2. Step 2: Convert to fraction form
    7,933.85/11,897.70 = 4,234.06/x
  3. Step 3: Cross multiply
    7,933.85x = 11,897.70 × 4,234.06
  4. Step 4: Simplify right side
    7,933.85x = 50,375,574.66
  5. Step 5: Solve for x
    x = 50,375,574.66/7,933.85
  6. Step 6: Final answer
    x = 6,349.45

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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.