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Finding the Fourth Proportional to 10,814.22, 14,924.78 and 6,341.73

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Solution

The fourth proportional to 10,814.22, 14,924.78 and 6,341.73 is: 8,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.22 : 14,924.78 = 6,341.73 : x
  2. Step 2: Convert to fraction form
    10,814.22/14,924.78 = 6,341.73/x
  3. Step 3: Cross multiply
    10,814.22x = 14,924.78 × 6,341.73
  4. Step 4: Simplify right side
    10,814.22x = 94,648,893.36
  5. Step 5: Solve for x
    x = 94,648,893.36/10,814.22
  6. Step 6: Final answer
    x = 8,752.26

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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.