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Finding the Fourth Proportional to 10,741.57, 14,824.03 and 7,150.33

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Solution

The fourth proportional to 10,741.57, 14,824.03 and 7,150.33 is: 9,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.57 : 14,824.03 = 7,150.33 : x
  2. Step 2: Convert to fraction form
    10,741.57/14,824.03 = 7,150.33/x
  3. Step 3: Cross multiply
    10,741.57x = 14,824.03 × 7,150.33
  4. Step 4: Simplify right side
    10,741.57x = 105,996,706.43
  5. Step 5: Solve for x
    x = 105,996,706.43/10,741.57
  6. Step 6: Final answer
    x = 9,867.90

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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.