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Finding the Fourth Proportional to 11,714.59, 17,553.43 and 6,441.77

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Solution

The fourth proportional to 11,714.59, 17,553.43 and 6,441.77 is: 9,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.59 : 17,553.43 = 6,441.77 : x
  2. Step 2: Convert to fraction form
    11,714.59/17,553.43 = 6,441.77/x
  3. Step 3: Cross multiply
    11,714.59x = 17,553.43 × 6,441.77
  4. Step 4: Simplify right side
    11,714.59x = 113,075,179.46
  5. Step 5: Solve for x
    x = 113,075,179.46/11,714.59
  6. Step 6: Final answer
    x = 9,652.51

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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.