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Finding the Fourth Proportional to 7,833.45, 10,807.96 and 4,475.05

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Solution

The fourth proportional to 7,833.45, 10,807.96 and 4,475.05 is: 6,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.45 : 10,807.96 = 4,475.05 : x
  2. Step 2: Convert to fraction form
    7,833.45/10,807.96 = 4,475.05/x
  3. Step 3: Cross multiply
    7,833.45x = 10,807.96 × 4,475.05
  4. Step 4: Simplify right side
    7,833.45x = 48,366,161.40
  5. Step 5: Solve for x
    x = 48,366,161.40/7,833.45
  6. Step 6: Final answer
    x = 6,174.31

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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.