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Finding the Fourth Proportional to 11,814.39, 17,702.33 and 6,888.20

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Solution

The fourth proportional to 11,814.39, 17,702.33 and 6,888.20 is: 10,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.39 : 17,702.33 = 6,888.20 : x
  2. Step 2: Convert to fraction form
    11,814.39/17,702.33 = 6,888.20/x
  3. Step 3: Cross multiply
    11,814.39x = 17,702.33 × 6,888.20
  4. Step 4: Simplify right side
    11,814.39x = 121,937,066.55
  5. Step 5: Solve for x
    x = 121,937,066.55/11,814.39
  6. Step 6: Final answer
    x = 10,321.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.