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Finding the Fourth Proportional to 7,406.82, 11,114.64 and 3,024.36

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Solution

The fourth proportional to 7,406.82, 11,114.64 and 3,024.36 is: 4,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.82 : 11,114.64 = 3,024.36 : x
  2. Step 2: Convert to fraction form
    7,406.82/11,114.64 = 3,024.36/x
  3. Step 3: Cross multiply
    7,406.82x = 11,114.64 × 3,024.36
  4. Step 4: Simplify right side
    7,406.82x = 33,614,672.63
  5. Step 5: Solve for x
    x = 33,614,672.63/7,406.82
  6. Step 6: Final answer
    x = 4,538.34

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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.