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Finding the Fourth Proportional to 8,301.42, 11,449.76 and 5,783.67

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Solution

The fourth proportional to 8,301.42, 11,449.76 and 5,783.67 is: 7,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.42 : 11,449.76 = 5,783.67 : x
  2. Step 2: Convert to fraction form
    8,301.42/11,449.76 = 5,783.67/x
  3. Step 3: Cross multiply
    8,301.42x = 11,449.76 × 5,783.67
  4. Step 4: Simplify right side
    8,301.42x = 66,221,604.50
  5. Step 5: Solve for x
    x = 66,221,604.50/8,301.42
  6. Step 6: Final answer
    x = 7,977.14

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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.