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Finding the Fourth Proportional to 7,805.06, 10,767.72 and 5,116.93

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Solution

The fourth proportional to 7,805.06, 10,767.72 and 5,116.93 is: 7,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.06 : 10,767.72 = 5,116.93 : x
  2. Step 2: Convert to fraction form
    7,805.06/10,767.72 = 5,116.93/x
  3. Step 3: Cross multiply
    7,805.06x = 10,767.72 × 5,116.93
  4. Step 4: Simplify right side
    7,805.06x = 55,097,648.98
  5. Step 5: Solve for x
    x = 55,097,648.98/7,805.06
  6. Step 6: Final answer
    x = 7,059.22

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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.