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Finding the Fourth Proportional to 6,836.09, 10,254.74 and 5,009.94

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Solution

The fourth proportional to 6,836.09, 10,254.74 and 5,009.94 is: 7,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.09 : 10,254.74 = 5,009.94 : x
  2. Step 2: Convert to fraction form
    6,836.09/10,254.74 = 5,009.94/x
  3. Step 3: Cross multiply
    6,836.09x = 10,254.74 × 5,009.94
  4. Step 4: Simplify right side
    6,836.09x = 51,375,607.07
  5. Step 5: Solve for x
    x = 51,375,607.07/6,836.09
  6. Step 6: Final answer
    x = 7,515.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.