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Finding the Fourth Proportional to 11,053.65, 16,580.49 and 9,101.75

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Solution

The fourth proportional to 11,053.65, 16,580.49 and 9,101.75 is: 13,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.65 : 16,580.49 = 9,101.75 : x
  2. Step 2: Convert to fraction form
    11,053.65/16,580.49 = 9,101.75/x
  3. Step 3: Cross multiply
    11,053.65x = 16,580.49 × 9,101.75
  4. Step 4: Simplify right side
    11,053.65x = 150,911,474.86
  5. Step 5: Solve for x
    x = 150,911,474.86/11,053.65
  6. Step 6: Final answer
    x = 13,652.64

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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.