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Finding the Fourth Proportional to 7,873.56, 11,802.24 and 2,675.52

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Solution

The fourth proportional to 7,873.56, 11,802.24 and 2,675.52 is: 4,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.56 : 11,802.24 = 2,675.52 : x
  2. Step 2: Convert to fraction form
    7,873.56/11,802.24 = 2,675.52/x
  3. Step 3: Cross multiply
    7,873.56x = 11,802.24 × 2,675.52
  4. Step 4: Simplify right side
    7,873.56x = 31,577,129.16
  5. Step 5: Solve for x
    x = 31,577,129.16/7,873.56
  6. Step 6: Final answer
    x = 4,010.53

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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.