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Finding the Fourth Proportional to 7,920.99, 11,890.13 and 5,834.50

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Solution

The fourth proportional to 7,920.99, 11,890.13 and 5,834.50 is: 8,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.99 : 11,890.13 = 5,834.50 : x
  2. Step 2: Convert to fraction form
    7,920.99/11,890.13 = 5,834.50/x
  3. Step 3: Cross multiply
    7,920.99x = 11,890.13 × 5,834.50
  4. Step 4: Simplify right side
    7,920.99x = 69,372,904.59
  5. Step 5: Solve for x
    x = 69,372,904.59/7,920.99
  6. Step 6: Final answer
    x = 8,758.11

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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.