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Finding the Fourth Proportional to 10,954.99, 16,437.67 and 5,687.20

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Solution

The fourth proportional to 10,954.99, 16,437.67 and 5,687.20 is: 8,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.99 : 16,437.67 = 5,687.20 : x
  2. Step 2: Convert to fraction form
    10,954.99/16,437.67 = 5,687.20/x
  3. Step 3: Cross multiply
    10,954.99x = 16,437.67 × 5,687.20
  4. Step 4: Simplify right side
    10,954.99x = 93,484,316.82
  5. Step 5: Solve for x
    x = 93,484,316.82/10,954.99
  6. Step 6: Final answer
    x = 8,533.49

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Why These Related Problems?

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