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Finding the Fourth Proportional to 7,120.68, 9,826.98 and 3,977.10

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Solution

The fourth proportional to 7,120.68, 9,826.98 and 3,977.10 is: 5,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.68 : 9,826.98 = 3,977.10 : x
  2. Step 2: Convert to fraction form
    7,120.68/9,826.98 = 3,977.10/x
  3. Step 3: Cross multiply
    7,120.68x = 9,826.98 × 3,977.10
  4. Step 4: Simplify right side
    7,120.68x = 39,082,882.16
  5. Step 5: Solve for x
    x = 39,082,882.16/7,120.68
  6. Step 6: Final answer
    x = 5,488.64

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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.