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Finding the Fourth Proportional to 10,285.12, 14,192.16 and 5,809.12

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Solution

The fourth proportional to 10,285.12, 14,192.16 and 5,809.12 is: 8,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.12 : 14,192.16 = 5,809.12 : x
  2. Step 2: Convert to fraction form
    10,285.12/14,192.16 = 5,809.12/x
  3. Step 3: Cross multiply
    10,285.12x = 14,192.16 × 5,809.12
  4. Step 4: Simplify right side
    10,285.12x = 82,443,960.50
  5. Step 5: Solve for x
    x = 82,443,960.50/10,285.12
  6. Step 6: Final answer
    x = 8,015.85

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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.