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Finding the Fourth Proportional to 7,813.13, 10,782.18 and 5,023.49

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Solution

The fourth proportional to 7,813.13, 10,782.18 and 5,023.49 is: 6,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.13 : 10,782.18 = 5,023.49 : x
  2. Step 2: Convert to fraction form
    7,813.13/10,782.18 = 5,023.49/x
  3. Step 3: Cross multiply
    7,813.13x = 10,782.18 × 5,023.49
  4. Step 4: Simplify right side
    7,813.13x = 54,164,119.50
  5. Step 5: Solve for x
    x = 54,164,119.50/7,813.13
  6. Step 6: Final answer
    x = 6,932.45

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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.