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Finding the Fourth Proportional to 10,607.96, 14,639.34 and 5,892.44

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Solution

The fourth proportional to 10,607.96, 14,639.34 and 5,892.44 is: 8,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.96 : 14,639.34 = 5,892.44 : x
  2. Step 2: Convert to fraction form
    10,607.96/14,639.34 = 5,892.44/x
  3. Step 3: Cross multiply
    10,607.96x = 14,639.34 × 5,892.44
  4. Step 4: Simplify right side
    10,607.96x = 86,261,432.59
  5. Step 5: Solve for x
    x = 86,261,432.59/10,607.96
  6. Step 6: Final answer
    x = 8,131.76

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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.