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Finding the Fourth Proportional to 8,258.40, 11,400.17 and 5,072.22

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Solution

The fourth proportional to 8,258.40, 11,400.17 and 5,072.22 is: 7,001.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.40 : 11,400.17 = 5,072.22 : x
  2. Step 2: Convert to fraction form
    8,258.40/11,400.17 = 5,072.22/x
  3. Step 3: Cross multiply
    8,258.40x = 11,400.17 × 5,072.22
  4. Step 4: Simplify right side
    8,258.40x = 57,824,144.92
  5. Step 5: Solve for x
    x = 57,824,144.92/8,258.40
  6. Step 6: Final answer
    x = 7,001.86

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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.