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Finding the Fourth Proportional to 11,375.40, 15,707.75 and 7,133.60

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Solution

The fourth proportional to 11,375.40, 15,707.75 and 7,133.60 is: 9,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.40 : 15,707.75 = 7,133.60 : x
  2. Step 2: Convert to fraction form
    11,375.40/15,707.75 = 7,133.60/x
  3. Step 3: Cross multiply
    11,375.40x = 15,707.75 × 7,133.60
  4. Step 4: Simplify right side
    11,375.40x = 112,052,691.19
  5. Step 5: Solve for x
    x = 112,052,691.19/11,375.40
  6. Step 6: Final answer
    x = 9,850.44

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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.