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Finding the Fourth Proportional to 11,431.43, 15,776.46 and 7,185.66

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Solution

The fourth proportional to 11,431.43, 15,776.46 and 7,185.66 is: 9,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.43 : 15,776.46 = 7,185.66 : x
  2. Step 2: Convert to fraction form
    11,431.43/15,776.46 = 7,185.66/x
  3. Step 3: Cross multiply
    11,431.43x = 15,776.46 × 7,185.66
  4. Step 4: Simplify right side
    11,431.43x = 113,364,277.56
  5. Step 5: Solve for x
    x = 113,364,277.56/11,431.43
  6. Step 6: Final answer
    x = 9,916.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.