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Finding the Fourth Proportional to 10,172.06, 14,037 and 6,193.58

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Solution

The fourth proportional to 10,172.06, 14,037 and 6,193.58 is: 8,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.06 : 14,037 = 6,193.58 : x
  2. Step 2: Convert to fraction form
    10,172.06/14,037 = 6,193.58/x
  3. Step 3: Cross multiply
    10,172.06x = 14,037 × 6,193.58
  4. Step 4: Simplify right side
    10,172.06x = 86,939,282.46
  5. Step 5: Solve for x
    x = 86,939,282.46/10,172.06
  6. Step 6: Final answer
    x = 8,546.87

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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.