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Finding the Fourth Proportional to 9,053.94, 13,518.97 and 8,110.80

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Solution

The fourth proportional to 9,053.94, 13,518.97 and 8,110.80 is: 12,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.94 : 13,518.97 = 8,110.80 : x
  2. Step 2: Convert to fraction form
    9,053.94/13,518.97 = 8,110.80/x
  3. Step 3: Cross multiply
    9,053.94x = 13,518.97 × 8,110.80
  4. Step 4: Simplify right side
    9,053.94x = 109,649,641.60
  5. Step 5: Solve for x
    x = 109,649,641.60/9,053.94
  6. Step 6: Final answer
    x = 12,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.