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Finding the Fourth Proportional to 10,305.16, 14,220.16 and 5,829.23

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Solution

The fourth proportional to 10,305.16, 14,220.16 and 5,829.23 is: 8,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.16 : 14,220.16 = 5,829.23 : x
  2. Step 2: Convert to fraction form
    10,305.16/14,220.16 = 5,829.23/x
  3. Step 3: Cross multiply
    10,305.16x = 14,220.16 × 5,829.23
  4. Step 4: Simplify right side
    10,305.16x = 82,892,604.25
  5. Step 5: Solve for x
    x = 82,892,604.25/10,305.16
  6. Step 6: Final answer
    x = 8,043.80

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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.