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Finding the Fourth Proportional to 10,118.00, 13,958.80 and 6,137.66

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Solution

The fourth proportional to 10,118.00, 13,958.80 and 6,137.66 is: 8,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.00 : 13,958.80 = 6,137.66 : x
  2. Step 2: Convert to fraction form
    10,118.00/13,958.80 = 6,137.66/x
  3. Step 3: Cross multiply
    10,118.00x = 13,958.80 × 6,137.66
  4. Step 4: Simplify right side
    10,118.00x = 85,674,387.96
  5. Step 5: Solve for x
    x = 85,674,387.96/10,118.00
  6. Step 6: Final answer
    x = 8,467.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.