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Finding the Fourth Proportional to 7,081.80, 9,776.98 and 5,299.12

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Solution

The fourth proportional to 7,081.80, 9,776.98 and 5,299.12 is: 7,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.80 : 9,776.98 = 5,299.12 : x
  2. Step 2: Convert to fraction form
    7,081.80/9,776.98 = 5,299.12/x
  3. Step 3: Cross multiply
    7,081.80x = 9,776.98 × 5,299.12
  4. Step 4: Simplify right side
    7,081.80x = 51,809,390.26
  5. Step 5: Solve for x
    x = 51,809,390.26/7,081.80
  6. Step 6: Final answer
    x = 7,315.85

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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.