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Finding the Fourth Proportional to 7,431.99, 10,256.15 and 4,288.17

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Solution

The fourth proportional to 7,431.99, 10,256.15 and 4,288.17 is: 5,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.99 : 10,256.15 = 4,288.17 : x
  2. Step 2: Convert to fraction form
    7,431.99/10,256.15 = 4,288.17/x
  3. Step 3: Cross multiply
    7,431.99x = 10,256.15 × 4,288.17
  4. Step 4: Simplify right side
    7,431.99x = 43,980,093.30
  5. Step 5: Solve for x
    x = 43,980,093.30/7,431.99
  6. Step 6: Final answer
    x = 5,917.67

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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.