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Finding the Fourth Proportional to 11,570.50, 17,379.04 and 6,899.64

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Solution

The fourth proportional to 11,570.50, 17,379.04 and 6,899.64 is: 10,363.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.50 : 17,379.04 = 6,899.64 : x
  2. Step 2: Convert to fraction form
    11,570.50/17,379.04 = 6,899.64/x
  3. Step 3: Cross multiply
    11,570.50x = 17,379.04 × 6,899.64
  4. Step 4: Simplify right side
    11,570.50x = 119,909,119.55
  5. Step 5: Solve for x
    x = 119,909,119.55/11,570.50
  6. Step 6: Final answer
    x = 10,363.35

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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.