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Finding the Fourth Proportional to 7,505.51, 11,256.06 and 2,822.14

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Solution

The fourth proportional to 7,505.51, 11,256.06 and 2,822.14 is: 4,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.51 : 11,256.06 = 2,822.14 : x
  2. Step 2: Convert to fraction form
    7,505.51/11,256.06 = 2,822.14/x
  3. Step 3: Cross multiply
    7,505.51x = 11,256.06 × 2,822.14
  4. Step 4: Simplify right side
    7,505.51x = 31,766,201.82
  5. Step 5: Solve for x
    x = 31,766,201.82/7,505.51
  6. Step 6: Final answer
    x = 4,232.38

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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.