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Finding the Fourth Proportional to 7,814.66, 10,781.22 and 4,825.36

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Solution

The fourth proportional to 7,814.66, 10,781.22 and 4,825.36 is: 6,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.66 : 10,781.22 = 4,825.36 : x
  2. Step 2: Convert to fraction form
    7,814.66/10,781.22 = 4,825.36/x
  3. Step 3: Cross multiply
    7,814.66x = 10,781.22 × 4,825.36
  4. Step 4: Simplify right side
    7,814.66x = 52,023,213.83
  5. Step 5: Solve for x
    x = 52,023,213.83/7,814.66
  6. Step 6: Final answer
    x = 6,657.13

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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.