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Finding the Fourth Proportional to 7,835.30, 10,813.19 and 5,178.09

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Solution

The fourth proportional to 7,835.30, 10,813.19 and 5,178.09 is: 7,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.30 : 10,813.19 = 5,178.09 : x
  2. Step 2: Convert to fraction form
    7,835.30/10,813.19 = 5,178.09/x
  3. Step 3: Cross multiply
    7,835.30x = 10,813.19 × 5,178.09
  4. Step 4: Simplify right side
    7,835.30x = 55,991,645.12
  5. Step 5: Solve for x
    x = 55,991,645.12/7,835.30
  6. Step 6: Final answer
    x = 7,146.08

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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.