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Finding the Fourth Proportional to 7,115.85, 9,823.68 and 4,761.99

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Solution

The fourth proportional to 7,115.85, 9,823.68 and 4,761.99 is: 6,574.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.85 : 9,823.68 = 4,761.99 : x
  2. Step 2: Convert to fraction form
    7,115.85/9,823.68 = 4,761.99/x
  3. Step 3: Cross multiply
    7,115.85x = 9,823.68 × 4,761.99
  4. Step 4: Simplify right side
    7,115.85x = 46,780,265.92
  5. Step 5: Solve for x
    x = 46,780,265.92/7,115.85
  6. Step 6: Final answer
    x = 6,574.09

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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.