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Finding the Fourth Proportional to 10,305.12, 14,220.84 and 5,829.06

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Solution

The fourth proportional to 10,305.12, 14,220.84 and 5,829.06 is: 8,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.12 : 14,220.84 = 5,829.06 : x
  2. Step 2: Convert to fraction form
    10,305.12/14,220.84 = 5,829.06/x
  3. Step 3: Cross multiply
    10,305.12x = 14,220.84 × 5,829.06
  4. Step 4: Simplify right side
    10,305.12x = 82,894,129.61
  5. Step 5: Solve for x
    x = 82,894,129.61/10,305.12
  6. Step 6: Final answer
    x = 8,043.98

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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.