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Finding the Fourth Proportional to 11,821.95, 16,323.81 and 8,053.02

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Solution

The fourth proportional to 11,821.95, 16,323.81 and 8,053.02 is: 11,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.95 : 16,323.81 = 8,053.02 : x
  2. Step 2: Convert to fraction form
    11,821.95/16,323.81 = 8,053.02/x
  3. Step 3: Cross multiply
    11,821.95x = 16,323.81 × 8,053.02
  4. Step 4: Simplify right side
    11,821.95x = 131,455,968.41
  5. Step 5: Solve for x
    x = 131,455,968.41/11,821.95
  6. Step 6: Final answer
    x = 11,119.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.