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Finding the Fourth Proportional to 10,295.64, 15,431.31 and 3,716.82

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Solution

The fourth proportional to 10,295.64, 15,431.31 and 3,716.82 is: 5,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.64 : 15,431.31 = 3,716.82 : x
  2. Step 2: Convert to fraction form
    10,295.64/15,431.31 = 3,716.82/x
  3. Step 3: Cross multiply
    10,295.64x = 15,431.31 × 3,716.82
  4. Step 4: Simplify right side
    10,295.64x = 57,355,401.63
  5. Step 5: Solve for x
    x = 57,355,401.63/10,295.64
  6. Step 6: Final answer
    x = 5,570.84

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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.