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Finding the Fourth Proportional to 11,676.76, 17,505.90 and 5,830.36

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Solution

The fourth proportional to 11,676.76, 17,505.90 and 5,830.36 is: 8,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.76 : 17,505.90 = 5,830.36 : x
  2. Step 2: Convert to fraction form
    11,676.76/17,505.90 = 5,830.36/x
  3. Step 3: Cross multiply
    11,676.76x = 17,505.90 × 5,830.36
  4. Step 4: Simplify right side
    11,676.76x = 102,065,699.12
  5. Step 5: Solve for x
    x = 102,065,699.12/11,676.76
  6. Step 6: Final answer
    x = 8,740.93

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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.