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Finding the Fourth Proportional to 7,411.82, 11,117.67 and 3,026.20

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Solution

The fourth proportional to 7,411.82, 11,117.67 and 3,026.20 is: 4,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.82 : 11,117.67 = 3,026.20 : x
  2. Step 2: Convert to fraction form
    7,411.82/11,117.67 = 3,026.20/x
  3. Step 3: Cross multiply
    7,411.82x = 11,117.67 × 3,026.20
  4. Step 4: Simplify right side
    7,411.82x = 33,644,274.66
  5. Step 5: Solve for x
    x = 33,644,274.66/7,411.82
  6. Step 6: Final answer
    x = 4,539.27

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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.