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Finding the Fourth Proportional to 10,499.18, 15,745.10 and 3,101.67

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Solution

The fourth proportional to 10,499.18, 15,745.10 and 3,101.67 is: 4,651.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.18 : 15,745.10 = 3,101.67 : x
  2. Step 2: Convert to fraction form
    10,499.18/15,745.10 = 3,101.67/x
  3. Step 3: Cross multiply
    10,499.18x = 15,745.10 × 3,101.67
  4. Step 4: Simplify right side
    10,499.18x = 48,836,088.81
  5. Step 5: Solve for x
    x = 48,836,088.81/10,499.18
  6. Step 6: Final answer
    x = 4,651.42

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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.