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Finding the Fourth Proportional to 10,635.84, 14,678.82 and 5,921.64

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Solution

The fourth proportional to 10,635.84, 14,678.82 and 5,921.64 is: 8,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.84 : 14,678.82 = 5,921.64 : x
  2. Step 2: Convert to fraction form
    10,635.84/14,678.82 = 5,921.64/x
  3. Step 3: Cross multiply
    10,635.84x = 14,678.82 × 5,921.64
  4. Step 4: Simplify right side
    10,635.84x = 86,922,687.66
  5. Step 5: Solve for x
    x = 86,922,687.66/10,635.84
  6. Step 6: Final answer
    x = 8,172.62

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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.