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Finding the Fourth Proportional to 6,920.69, 10,379.95 and 3,024.05

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Solution

The fourth proportional to 6,920.69, 10,379.95 and 3,024.05 is: 4,535.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.69 : 10,379.95 = 3,024.05 : x
  2. Step 2: Convert to fraction form
    6,920.69/10,379.95 = 3,024.05/x
  3. Step 3: Cross multiply
    6,920.69x = 10,379.95 × 3,024.05
  4. Step 4: Simplify right side
    6,920.69x = 31,389,428.34
  5. Step 5: Solve for x
    x = 31,389,428.34/6,920.69
  6. Step 6: Final answer
    x = 4,535.60

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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.