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Finding the Fourth Proportional to 10,099.63, 15,149.98 and 3,174.67

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Solution

The fourth proportional to 10,099.63, 15,149.98 and 3,174.67 is: 4,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.63 : 15,149.98 = 3,174.67 : x
  2. Step 2: Convert to fraction form
    10,099.63/15,149.98 = 3,174.67/x
  3. Step 3: Cross multiply
    10,099.63x = 15,149.98 × 3,174.67
  4. Step 4: Simplify right side
    10,099.63x = 48,096,111.26
  5. Step 5: Solve for x
    x = 48,096,111.26/10,099.63
  6. Step 6: Final answer
    x = 4,762.17

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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.