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Finding the Fourth Proportional to 11,053.74, 16,580.61 and 6,433.50

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Solution

The fourth proportional to 11,053.74, 16,580.61 and 6,433.50 is: 9,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.74 : 16,580.61 = 6,433.50 : x
  2. Step 2: Convert to fraction form
    11,053.74/16,580.61 = 6,433.50/x
  3. Step 3: Cross multiply
    11,053.74x = 16,580.61 × 6,433.50
  4. Step 4: Simplify right side
    11,053.74x = 106,671,354.44
  5. Step 5: Solve for x
    x = 106,671,354.44/11,053.74
  6. Step 6: Final answer
    x = 9,650.25

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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.