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Finding the Fourth Proportional to 8,039.82, 11,097.36 and 4,897.56

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Solution

The fourth proportional to 8,039.82, 11,097.36 and 4,897.56 is: 6,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.82 : 11,097.36 = 4,897.56 : x
  2. Step 2: Convert to fraction form
    8,039.82/11,097.36 = 4,897.56/x
  3. Step 3: Cross multiply
    8,039.82x = 11,097.36 × 4,897.56
  4. Step 4: Simplify right side
    8,039.82x = 54,349,986.44
  5. Step 5: Solve for x
    x = 54,349,986.44/8,039.82
  6. Step 6: Final answer
    x = 6,760.10

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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.