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Finding the Fourth Proportional to 10,589.82, 15,887.37 and 7,475.94

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Solution

The fourth proportional to 10,589.82, 15,887.37 and 7,475.94 is: 11,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.82 : 15,887.37 = 7,475.94 : x
  2. Step 2: Convert to fraction form
    10,589.82/15,887.37 = 7,475.94/x
  3. Step 3: Cross multiply
    10,589.82x = 15,887.37 × 7,475.94
  4. Step 4: Simplify right side
    10,589.82x = 118,773,024.88
  5. Step 5: Solve for x
    x = 118,773,024.88/10,589.82
  6. Step 6: Final answer
    x = 11,215.77

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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.