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Finding the Fourth Proportional to 7,802.06, 10,763.09 and 5,112.12

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Solution

The fourth proportional to 7,802.06, 10,763.09 and 5,112.12 is: 7,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.06 : 10,763.09 = 5,112.12 : x
  2. Step 2: Convert to fraction form
    7,802.06/10,763.09 = 5,112.12/x
  3. Step 3: Cross multiply
    7,802.06x = 10,763.09 × 5,112.12
  4. Step 4: Simplify right side
    7,802.06x = 55,022,182.09
  5. Step 5: Solve for x
    x = 55,022,182.09/7,802.06
  6. Step 6: Final answer
    x = 7,052.26

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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.