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Finding the Fourth Proportional to 10,719, 16,078.98 and 3,699

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Solution

The fourth proportional to 10,719, 16,078.98 and 3,699 is: 5,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,719 : 16,078.98 = 3,699 : x
  2. Step 2: Convert to fraction form
    10,719/16,078.98 = 3,699/x
  3. Step 3: Cross multiply
    10,719x = 16,078.98 × 3,699
  4. Step 4: Simplify right side
    10,719x = 59,476,147.02
  5. Step 5: Solve for x
    x = 59,476,147.02/10,719
  6. Step 6: Final answer
    x = 5,548.67

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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.