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Finding the Fourth Proportional to 10,446.88, 14,416.85 and 5,731.06

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Solution

The fourth proportional to 10,446.88, 14,416.85 and 5,731.06 is: 7,908.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.88 : 14,416.85 = 5,731.06 : x
  2. Step 2: Convert to fraction form
    10,446.88/14,416.85 = 5,731.06/x
  3. Step 3: Cross multiply
    10,446.88x = 14,416.85 × 5,731.06
  4. Step 4: Simplify right side
    10,446.88x = 82,623,832.36
  5. Step 5: Solve for x
    x = 82,623,832.36/10,446.88
  6. Step 6: Final answer
    x = 7,908.95

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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.