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Finding the Fourth Proportional to 8,256.74, 11,388.65 and 5,271.23

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Solution

The fourth proportional to 8,256.74, 11,388.65 and 5,271.23 is: 7,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.74 : 11,388.65 = 5,271.23 : x
  2. Step 2: Convert to fraction form
    8,256.74/11,388.65 = 5,271.23/x
  3. Step 3: Cross multiply
    8,256.74x = 11,388.65 × 5,271.23
  4. Step 4: Simplify right side
    8,256.74x = 60,032,155.74
  5. Step 5: Solve for x
    x = 60,032,155.74/8,256.74
  6. Step 6: Final answer
    x = 7,270.69

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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.