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Finding the Fourth Proportional to 10,693.67, 16,040.70 and 3,673.64

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Solution

The fourth proportional to 10,693.67, 16,040.70 and 3,673.64 is: 5,510.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.67 : 16,040.70 = 3,673.64 : x
  2. Step 2: Convert to fraction form
    10,693.67/16,040.70 = 3,673.64/x
  3. Step 3: Cross multiply
    10,693.67x = 16,040.70 × 3,673.64
  4. Step 4: Simplify right side
    10,693.67x = 58,927,676.94
  5. Step 5: Solve for x
    x = 58,927,676.94/10,693.67
  6. Step 6: Final answer
    x = 5,510.52

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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.