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Finding the Fourth Proportional to 6,752.09, 10,123.74 and 2,802.26

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Solution

The fourth proportional to 6,752.09, 10,123.74 and 2,802.26 is: 4,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.09 : 10,123.74 = 2,802.26 : x
  2. Step 2: Convert to fraction form
    6,752.09/10,123.74 = 2,802.26/x
  3. Step 3: Cross multiply
    6,752.09x = 10,123.74 × 2,802.26
  4. Step 4: Simplify right side
    6,752.09x = 28,369,351.65
  5. Step 5: Solve for x
    x = 28,369,351.65/6,752.09
  6. Step 6: Final answer
    x = 4,201.57

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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.