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Finding the Fourth Proportional to 7,814.44, 10,782.97 and 6,225.13

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Solution

The fourth proportional to 7,814.44, 10,782.97 and 6,225.13 is: 8,589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.44 : 10,782.97 = 6,225.13 : x
  2. Step 2: Convert to fraction form
    7,814.44/10,782.97 = 6,225.13/x
  3. Step 3: Cross multiply
    7,814.44x = 10,782.97 × 6,225.13
  4. Step 4: Simplify right side
    7,814.44x = 67,125,387.95
  5. Step 5: Solve for x
    x = 67,125,387.95/7,814.44
  6. Step 6: Final answer
    x = 8,589.92

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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.