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Finding the Fourth Proportional to 11,077.50, 16,606.94 and 4,508.40

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Solution

The fourth proportional to 11,077.50, 16,606.94 and 4,508.40 is: 6,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.50 : 16,606.94 = 4,508.40 : x
  2. Step 2: Convert to fraction form
    11,077.50/16,606.94 = 4,508.40/x
  3. Step 3: Cross multiply
    11,077.50x = 16,606.94 × 4,508.40
  4. Step 4: Simplify right side
    11,077.50x = 74,870,705.75
  5. Step 5: Solve for x
    x = 74,870,705.75/11,077.50
  6. Step 6: Final answer
    x = 6,758.81

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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.