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Finding the Fourth Proportional to 10,291.80, 14,194.14 and 6,096.12

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Solution

The fourth proportional to 10,291.80, 14,194.14 and 6,096.12 is: 8,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.80 : 14,194.14 = 6,096.12 : x
  2. Step 2: Convert to fraction form
    10,291.80/14,194.14 = 6,096.12/x
  3. Step 3: Cross multiply
    10,291.80x = 14,194.14 × 6,096.12
  4. Step 4: Simplify right side
    10,291.80x = 86,529,180.74
  5. Step 5: Solve for x
    x = 86,529,180.74/10,291.80
  6. Step 6: Final answer
    x = 8,407.58

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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.