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Finding the Fourth Proportional to 11,300.76, 16,936.56 and 9,750.42

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Solution

The fourth proportional to 11,300.76, 16,936.56 and 9,750.42 is: 14,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.76 : 16,936.56 = 9,750.42 : x
  2. Step 2: Convert to fraction form
    11,300.76/16,936.56 = 9,750.42/x
  3. Step 3: Cross multiply
    11,300.76x = 16,936.56 × 9,750.42
  4. Step 4: Simplify right side
    11,300.76x = 165,138,573.36
  5. Step 5: Solve for x
    x = 165,138,573.36/11,300.76
  6. Step 6: Final answer
    x = 14,613.05

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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.