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Finding the Fourth Proportional to 11,053.80, 16,563.78 and 4,807.80

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Solution

The fourth proportional to 11,053.80, 16,563.78 and 4,807.80 is: 7,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.80 : 16,563.78 = 4,807.80 : x
  2. Step 2: Convert to fraction form
    11,053.80/16,563.78 = 4,807.80/x
  3. Step 3: Cross multiply
    11,053.80x = 16,563.78 × 4,807.80
  4. Step 4: Simplify right side
    11,053.80x = 79,635,341.48
  5. Step 5: Solve for x
    x = 79,635,341.48/11,053.80
  6. Step 6: Final answer
    x = 7,204.34

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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.