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Finding the Fourth Proportional to 10,321.98, 14,244.39 and 6,130.14

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Solution

The fourth proportional to 10,321.98, 14,244.39 and 6,130.14 is: 8,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.98 : 14,244.39 = 6,130.14 : x
  2. Step 2: Convert to fraction form
    10,321.98/14,244.39 = 6,130.14/x
  3. Step 3: Cross multiply
    10,321.98x = 14,244.39 × 6,130.14
  4. Step 4: Simplify right side
    10,321.98x = 87,320,104.91
  5. Step 5: Solve for x
    x = 87,320,104.91/10,321.98
  6. Step 6: Final answer
    x = 8,459.63

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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.