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Finding the Fourth Proportional to 10,705.84, 16,061.66 and 4,463.78

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Solution

The fourth proportional to 10,705.84, 16,061.66 and 4,463.78 is: 6,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.84 : 16,061.66 = 4,463.78 : x
  2. Step 2: Convert to fraction form
    10,705.84/16,061.66 = 4,463.78/x
  3. Step 3: Cross multiply
    10,705.84x = 16,061.66 × 4,463.78
  4. Step 4: Simplify right side
    10,705.84x = 71,695,716.67
  5. Step 5: Solve for x
    x = 71,695,716.67/10,705.84
  6. Step 6: Final answer
    x = 6,696.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.