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Finding the Fourth Proportional to 11,417.49, 17,127 and 4,398.21

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Solution

The fourth proportional to 11,417.49, 17,127 and 4,398.21 is: 6,597.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.49 : 17,127 = 4,398.21 : x
  2. Step 2: Convert to fraction form
    11,417.49/17,127 = 4,398.21/x
  3. Step 3: Cross multiply
    11,417.49x = 17,127 × 4,398.21
  4. Step 4: Simplify right side
    11,417.49x = 75,328,142.67
  5. Step 5: Solve for x
    x = 75,328,142.67/11,417.49
  6. Step 6: Final answer
    x = 6,597.61

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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.