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Finding the Fourth Proportional to 11,315.46, 16,941.46 and 8,533.38

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Solution

The fourth proportional to 11,315.46, 16,941.46 and 8,533.38 is: 12,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.46 : 16,941.46 = 8,533.38 : x
  2. Step 2: Convert to fraction form
    11,315.46/16,941.46 = 8,533.38/x
  3. Step 3: Cross multiply
    11,315.46x = 16,941.46 × 8,533.38
  4. Step 4: Simplify right side
    11,315.46x = 144,567,915.93
  5. Step 5: Solve for x
    x = 144,567,915.93/11,315.46
  6. Step 6: Final answer
    x = 12,776.14

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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.