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Finding the Fourth Proportional to 7,765.33, 10,703.67 and 5,246.65

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Solution

The fourth proportional to 7,765.33, 10,703.67 and 5,246.65 is: 7,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.33 : 10,703.67 = 5,246.65 : x
  2. Step 2: Convert to fraction form
    7,765.33/10,703.67 = 5,246.65/x
  3. Step 3: Cross multiply
    7,765.33x = 10,703.67 × 5,246.65
  4. Step 4: Simplify right side
    7,765.33x = 56,158,410.21
  5. Step 5: Solve for x
    x = 56,158,410.21/7,765.33
  6. Step 6: Final answer
    x = 7,231.94

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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.