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Finding the Fourth Proportional to 7,835.65, 10,813.49 and 4,298.78

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Solution

The fourth proportional to 7,835.65, 10,813.49 and 4,298.78 is: 5,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.65 : 10,813.49 = 4,298.78 : x
  2. Step 2: Convert to fraction form
    7,835.65/10,813.49 = 4,298.78/x
  3. Step 3: Cross multiply
    7,835.65x = 10,813.49 × 4,298.78
  4. Step 4: Simplify right side
    7,835.65x = 46,484,814.54
  5. Step 5: Solve for x
    x = 46,484,814.54/7,835.65
  6. Step 6: Final answer
    x = 5,932.48

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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.