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Finding the Fourth Proportional to 10,633.22, 14,673.42 and 5,917.40

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Solution

The fourth proportional to 10,633.22, 14,673.42 and 5,917.40 is: 8,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.22 : 14,673.42 = 5,917.40 : x
  2. Step 2: Convert to fraction form
    10,633.22/14,673.42 = 5,917.40/x
  3. Step 3: Cross multiply
    10,633.22x = 14,673.42 × 5,917.40
  4. Step 4: Simplify right side
    10,633.22x = 86,828,495.51
  5. Step 5: Solve for x
    x = 86,828,495.51/10,633.22
  6. Step 6: Final answer
    x = 8,165.78

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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.