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Finding the Fourth Proportional to 7,836.46, 10,804.32 and 5,715.08

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Solution

The fourth proportional to 7,836.46, 10,804.32 and 5,715.08 is: 7,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.46 : 10,804.32 = 5,715.08 : x
  2. Step 2: Convert to fraction form
    7,836.46/10,804.32 = 5,715.08/x
  3. Step 3: Cross multiply
    7,836.46x = 10,804.32 × 5,715.08
  4. Step 4: Simplify right side
    7,836.46x = 61,747,553.15
  5. Step 5: Solve for x
    x = 61,747,553.15/7,836.46
  6. Step 6: Final answer
    x = 7,879.52

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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.