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Finding the Fourth Proportional to 10,144.58, 14,001.12 and 6,166.94

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Solution

The fourth proportional to 10,144.58, 14,001.12 and 6,166.94 is: 8,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.58 : 14,001.12 = 6,166.94 : x
  2. Step 2: Convert to fraction form
    10,144.58/14,001.12 = 6,166.94/x
  3. Step 3: Cross multiply
    10,144.58x = 14,001.12 × 6,166.94
  4. Step 4: Simplify right side
    10,144.58x = 86,343,996.97
  5. Step 5: Solve for x
    x = 86,343,996.97/10,144.58
  6. Step 6: Final answer
    x = 8,511.35

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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.