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Finding the Fourth Proportional to 7,813.11, 10,778.07 and 5,294.37

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Solution

The fourth proportional to 7,813.11, 10,778.07 and 5,294.37 is: 7,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.11 : 10,778.07 = 5,294.37 : x
  2. Step 2: Convert to fraction form
    7,813.11/10,778.07 = 5,294.37/x
  3. Step 3: Cross multiply
    7,813.11x = 10,778.07 × 5,294.37
  4. Step 4: Simplify right side
    7,813.11x = 57,063,090.47
  5. Step 5: Solve for x
    x = 57,063,090.47/7,813.11
  6. Step 6: Final answer
    x = 7,303.51

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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.