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Finding the Fourth Proportional to 10,980.94, 16,474.04 and 3,585.42

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Solution

The fourth proportional to 10,980.94, 16,474.04 and 3,585.42 is: 5,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.94 : 16,474.04 = 3,585.42 : x
  2. Step 2: Convert to fraction form
    10,980.94/16,474.04 = 3,585.42/x
  3. Step 3: Cross multiply
    10,980.94x = 16,474.04 × 3,585.42
  4. Step 4: Simplify right side
    10,980.94x = 59,066,352.50
  5. Step 5: Solve for x
    x = 59,066,352.50/10,980.94
  6. Step 6: Final answer
    x = 5,378.99

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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.