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Finding the Fourth Proportional to 11,446.86, 17,156.42 and 4,859.21

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Solution

The fourth proportional to 11,446.86, 17,156.42 and 4,859.21 is: 7,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.86 : 17,156.42 = 4,859.21 : x
  2. Step 2: Convert to fraction form
    11,446.86/17,156.42 = 4,859.21/x
  3. Step 3: Cross multiply
    11,446.86x = 17,156.42 × 4,859.21
  4. Step 4: Simplify right side
    11,446.86x = 83,366,647.63
  5. Step 5: Solve for x
    x = 83,366,647.63/11,446.86
  6. Step 6: Final answer
    x = 7,282.93

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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.