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Finding the Fourth Proportional to 10,171.65, 14,029.62 and 6,193.02

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Solution

The fourth proportional to 10,171.65, 14,029.62 and 6,193.02 is: 8,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.65 : 14,029.62 = 6,193.02 : x
  2. Step 2: Convert to fraction form
    10,171.65/14,029.62 = 6,193.02/x
  3. Step 3: Cross multiply
    10,171.65x = 14,029.62 × 6,193.02
  4. Step 4: Simplify right side
    10,171.65x = 86,885,717.25
  5. Step 5: Solve for x
    x = 86,885,717.25/10,171.65
  6. Step 6: Final answer
    x = 8,541.95

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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.