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Finding the Fourth Proportional to 10,416.94, 14,374.64 and 5,940.88

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Solution

The fourth proportional to 10,416.94, 14,374.64 and 5,940.88 is: 8,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.94 : 14,374.64 = 5,940.88 : x
  2. Step 2: Convert to fraction form
    10,416.94/14,374.64 = 5,940.88/x
  3. Step 3: Cross multiply
    10,416.94x = 14,374.64 × 5,940.88
  4. Step 4: Simplify right side
    10,416.94x = 85,398,011.28
  5. Step 5: Solve for x
    x = 85,398,011.28/10,416.94
  6. Step 6: Final answer
    x = 8,197.99

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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.