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Finding the Fourth Proportional to 10,928.34, 16,392.69 and 3,136.50

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Solution

The fourth proportional to 10,928.34, 16,392.69 and 3,136.50 is: 4,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928.34 : 16,392.69 = 3,136.50 : x
  2. Step 2: Convert to fraction form
    10,928.34/16,392.69 = 3,136.50/x
  3. Step 3: Cross multiply
    10,928.34x = 16,392.69 × 3,136.50
  4. Step 4: Simplify right side
    10,928.34x = 51,415,672.19
  5. Step 5: Solve for x
    x = 51,415,672.19/10,928.34
  6. Step 6: Final answer
    x = 4,704.80

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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.