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Finding the Fourth Proportional to 7,833.65, 10,809.75 and 4,475.79

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Solution

The fourth proportional to 7,833.65, 10,809.75 and 4,475.79 is: 6,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.65 : 10,809.75 = 4,475.79 : x
  2. Step 2: Convert to fraction form
    7,833.65/10,809.75 = 4,475.79/x
  3. Step 3: Cross multiply
    7,833.65x = 10,809.75 × 4,475.79
  4. Step 4: Simplify right side
    7,833.65x = 48,382,197.98
  5. Step 5: Solve for x
    x = 48,382,197.98/7,833.65
  6. Step 6: Final answer
    x = 6,176.20

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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.