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Finding the Fourth Proportional to 11,077.50, 16,619.02 and 3,681.98

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Solution

The fourth proportional to 11,077.50, 16,619.02 and 3,681.98 is: 5,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.50 : 16,619.02 = 3,681.98 : x
  2. Step 2: Convert to fraction form
    11,077.50/16,619.02 = 3,681.98/x
  3. Step 3: Cross multiply
    11,077.50x = 16,619.02 × 3,681.98
  4. Step 4: Simplify right side
    11,077.50x = 61,190,899.26
  5. Step 5: Solve for x
    x = 61,190,899.26/11,077.50
  6. Step 6: Final answer
    x = 5,523.89

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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.