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Finding the Fourth Proportional to 11,048.56, 16,572.90 and 4,123

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Solution

The fourth proportional to 11,048.56, 16,572.90 and 4,123 is: 6,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048.56 : 16,572.90 = 4,123 : x
  2. Step 2: Convert to fraction form
    11,048.56/16,572.90 = 4,123/x
  3. Step 3: Cross multiply
    11,048.56x = 16,572.90 × 4,123
  4. Step 4: Simplify right side
    11,048.56x = 68,330,066.70
  5. Step 5: Solve for x
    x = 68,330,066.70/11,048.56
  6. Step 6: Final answer
    x = 6,184.52

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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.