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Finding the Fourth Proportional to 10,367.85, 14,305.77 and 5,829.23

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Solution

The fourth proportional to 10,367.85, 14,305.77 and 5,829.23 is: 8,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.85 : 14,305.77 = 5,829.23 : x
  2. Step 2: Convert to fraction form
    10,367.85/14,305.77 = 5,829.23/x
  3. Step 3: Cross multiply
    10,367.85x = 14,305.77 × 5,829.23
  4. Step 4: Simplify right side
    10,367.85x = 83,391,552.13
  5. Step 5: Solve for x
    x = 83,391,552.13/10,367.85
  6. Step 6: Final answer
    x = 8,043.28

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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.