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Finding the Fourth Proportional to 10,367.22, 14,305.68 and 5,829.18

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Solution

The fourth proportional to 10,367.22, 14,305.68 and 5,829.18 is: 8,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.22 : 14,305.68 = 5,829.18 : x
  2. Step 2: Convert to fraction form
    10,367.22/14,305.68 = 5,829.18/x
  3. Step 3: Cross multiply
    10,367.22x = 14,305.68 × 5,829.18
  4. Step 4: Simplify right side
    10,367.22x = 83,390,383.74
  5. Step 5: Solve for x
    x = 83,390,383.74/10,367.22
  6. Step 6: Final answer
    x = 8,043.66

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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.