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Finding the Fourth Proportional to 10,194.30, 14,066.16 and 6,160.30

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Solution

The fourth proportional to 10,194.30, 14,066.16 and 6,160.30 is: 8,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.30 : 14,066.16 = 6,160.30 : x
  2. Step 2: Convert to fraction form
    10,194.30/14,066.16 = 6,160.30/x
  3. Step 3: Cross multiply
    10,194.30x = 14,066.16 × 6,160.30
  4. Step 4: Simplify right side
    10,194.30x = 86,651,765.45
  5. Step 5: Solve for x
    x = 86,651,765.45/10,194.30
  6. Step 6: Final answer
    x = 8,500.02

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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.