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Finding the Fourth Proportional to 7,642.17, 11,463.21 and 5,026.17

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Solution

The fourth proportional to 7,642.17, 11,463.21 and 5,026.17 is: 7,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.17 : 11,463.21 = 5,026.17 : x
  2. Step 2: Convert to fraction form
    7,642.17/11,463.21 = 5,026.17/x
  3. Step 3: Cross multiply
    7,642.17x = 11,463.21 × 5,026.17
  4. Step 4: Simplify right side
    7,642.17x = 57,616,042.21
  5. Step 5: Solve for x
    x = 57,616,042.21/7,642.17
  6. Step 6: Final answer
    x = 7,539.23

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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.