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Finding the Fourth Proportional to 10,955.62, 16,434 and 3,559.53

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Solution

The fourth proportional to 10,955.62, 16,434 and 3,559.53 is: 5,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.62 : 16,434 = 3,559.53 : x
  2. Step 2: Convert to fraction form
    10,955.62/16,434 = 3,559.53/x
  3. Step 3: Cross multiply
    10,955.62x = 16,434 × 3,559.53
  4. Step 4: Simplify right side
    10,955.62x = 58,497,316.02
  5. Step 5: Solve for x
    x = 58,497,316.02/10,955.62
  6. Step 6: Final answer
    x = 5,339.48

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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.