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Finding the Fourth Proportional to 10,447.83, 14,410.04 and 7,093.22

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Solution

The fourth proportional to 10,447.83, 14,410.04 and 7,093.22 is: 9,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.83 : 14,410.04 = 7,093.22 : x
  2. Step 2: Convert to fraction form
    10,447.83/14,410.04 = 7,093.22/x
  3. Step 3: Cross multiply
    10,447.83x = 14,410.04 × 7,093.22
  4. Step 4: Simplify right side
    10,447.83x = 102,213,476.41
  5. Step 5: Solve for x
    x = 102,213,476.41/10,447.83
  6. Step 6: Final answer
    x = 9,783.23

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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.