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Finding the Fourth Proportional to 7,980.84, 11,969.72 and 4,690.09

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Solution

The fourth proportional to 7,980.84, 11,969.72 and 4,690.09 is: 7,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.84 : 11,969.72 = 4,690.09 : x
  2. Step 2: Convert to fraction form
    7,980.84/11,969.72 = 4,690.09/x
  3. Step 3: Cross multiply
    7,980.84x = 11,969.72 × 4,690.09
  4. Step 4: Simplify right side
    7,980.84x = 56,139,082.72
  5. Step 5: Solve for x
    x = 56,139,082.72/7,980.84
  6. Step 6: Final answer
    x = 7,034.23

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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.