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Finding the Fourth Proportional to 11,359.81, 17,047.05 and 4,786.03

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Solution

The fourth proportional to 11,359.81, 17,047.05 and 4,786.03 is: 7,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,359.81 : 17,047.05 = 4,786.03 : x
  2. Step 2: Convert to fraction form
    11,359.81/17,047.05 = 4,786.03/x
  3. Step 3: Cross multiply
    11,359.81x = 17,047.05 × 4,786.03
  4. Step 4: Simplify right side
    11,359.81x = 81,587,692.71
  5. Step 5: Solve for x
    x = 81,587,692.71/11,359.81
  6. Step 6: Final answer
    x = 7,182.14

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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.