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Finding the Fourth Proportional to 10,446.94, 14,416.53 and 5,731.18

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Solution

The fourth proportional to 10,446.94, 14,416.53 and 5,731.18 is: 7,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.94 : 14,416.53 = 5,731.18 : x
  2. Step 2: Convert to fraction form
    10,446.94/14,416.53 = 5,731.18/x
  3. Step 3: Cross multiply
    10,446.94x = 14,416.53 × 5,731.18
  4. Step 4: Simplify right side
    10,446.94x = 82,623,728.41
  5. Step 5: Solve for x
    x = 82,623,728.41/10,446.94
  6. Step 6: Final answer
    x = 7,908.89

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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.