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Finding the Fourth Proportional to 8,256.54, 11,390.25 and 4,897.44

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Solution

The fourth proportional to 8,256.54, 11,390.25 and 4,897.44 is: 6,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.54 : 11,390.25 = 4,897.44 : x
  2. Step 2: Convert to fraction form
    8,256.54/11,390.25 = 4,897.44/x
  3. Step 3: Cross multiply
    8,256.54x = 11,390.25 × 4,897.44
  4. Step 4: Simplify right side
    8,256.54x = 55,783,065.96
  5. Step 5: Solve for x
    x = 55,783,065.96/8,256.54
  6. Step 6: Final answer
    x = 6,756.23

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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.