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Finding the Fourth Proportional to 10,147.68, 14,008.10 and 6,170.06

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Solution

The fourth proportional to 10,147.68, 14,008.10 and 6,170.06 is: 8,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.68 : 14,008.10 = 6,170.06 : x
  2. Step 2: Convert to fraction form
    10,147.68/14,008.10 = 6,170.06/x
  3. Step 3: Cross multiply
    10,147.68x = 14,008.10 × 6,170.06
  4. Step 4: Simplify right side
    10,147.68x = 86,430,817.49
  5. Step 5: Solve for x
    x = 86,430,817.49/10,147.68
  6. Step 6: Final answer
    x = 8,517.30

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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.