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Finding the Fourth Proportional to 7,969.60, 11,952.96 and 3,038.14

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Solution

The fourth proportional to 7,969.60, 11,952.96 and 3,038.14 is: 4,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.60 : 11,952.96 = 3,038.14 : x
  2. Step 2: Convert to fraction form
    7,969.60/11,952.96 = 3,038.14/x
  3. Step 3: Cross multiply
    7,969.60x = 11,952.96 × 3,038.14
  4. Step 4: Simplify right side
    7,969.60x = 36,314,765.89
  5. Step 5: Solve for x
    x = 36,314,765.89/7,969.60
  6. Step 6: Final answer
    x = 4,556.66

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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.