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Finding the Fourth Proportional to 11,830.35, 17,740.67 and 4,431.00

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Solution

The fourth proportional to 11,830.35, 17,740.67 and 4,431.00 is: 6,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.35 : 17,740.67 = 4,431.00 : x
  2. Step 2: Convert to fraction form
    11,830.35/17,740.67 = 4,431.00/x
  3. Step 3: Cross multiply
    11,830.35x = 17,740.67 × 4,431.00
  4. Step 4: Simplify right side
    11,830.35x = 78,608,978.07
  5. Step 5: Solve for x
    x = 78,608,978.07/11,830.35
  6. Step 6: Final answer
    x = 6,644.69

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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.