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Finding the Fourth Proportional to 7,225.74, 10,813.94 and 6,057.05

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Solution

The fourth proportional to 7,225.74, 10,813.94 and 6,057.05 is: 9,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.74 : 10,813.94 = 6,057.05 : x
  2. Step 2: Convert to fraction form
    7,225.74/10,813.94 = 6,057.05/x
  3. Step 3: Cross multiply
    7,225.74x = 10,813.94 × 6,057.05
  4. Step 4: Simplify right side
    7,225.74x = 65,500,513.64
  5. Step 5: Solve for x
    x = 65,500,513.64/7,225.74
  6. Step 6: Final answer
    x = 9,064.89

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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.