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Finding the Fourth Proportional to 10,099.75, 13,938.74 and 5,911.51

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Solution

The fourth proportional to 10,099.75, 13,938.74 and 5,911.51 is: 8,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.75 : 13,938.74 = 5,911.51 : x
  2. Step 2: Convert to fraction form
    10,099.75/13,938.74 = 5,911.51/x
  3. Step 3: Cross multiply
    10,099.75x = 13,938.74 × 5,911.51
  4. Step 4: Simplify right side
    10,099.75x = 82,398,971.34
  5. Step 5: Solve for x
    x = 82,398,971.34/10,099.75
  6. Step 6: Final answer
    x = 8,158.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.