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Finding the Fourth Proportional to 6,790.65, 10,189.80 and 5,305.71

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Solution

The fourth proportional to 6,790.65, 10,189.80 and 5,305.71 is: 7,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.65 : 10,189.80 = 5,305.71 : x
  2. Step 2: Convert to fraction form
    6,790.65/10,189.80 = 5,305.71/x
  3. Step 3: Cross multiply
    6,790.65x = 10,189.80 × 5,305.71
  4. Step 4: Simplify right side
    6,790.65x = 54,064,123.76
  5. Step 5: Solve for x
    x = 54,064,123.76/6,790.65
  6. Step 6: Final answer
    x = 7,961.55

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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.