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Finding the Fourth Proportional to 10,953.14, 16,428.17 and 3,557.70

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Solution

The fourth proportional to 10,953.14, 16,428.17 and 3,557.70 is: 5,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.14 : 16,428.17 = 3,557.70 : x
  2. Step 2: Convert to fraction form
    10,953.14/16,428.17 = 3,557.70/x
  3. Step 3: Cross multiply
    10,953.14x = 16,428.17 × 3,557.70
  4. Step 4: Simplify right side
    10,953.14x = 58,446,500.41
  5. Step 5: Solve for x
    x = 58,446,500.41/10,953.14
  6. Step 6: Final answer
    x = 5,336.05

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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.