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Finding the Fourth Proportional to 10,287.96, 14,211.90 and 8,189.40

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Solution

The fourth proportional to 10,287.96, 14,211.90 and 8,189.40 is: 11,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.96 : 14,211.90 = 8,189.40 : x
  2. Step 2: Convert to fraction form
    10,287.96/14,211.90 = 8,189.40/x
  3. Step 3: Cross multiply
    10,287.96x = 14,211.90 × 8,189.40
  4. Step 4: Simplify right side
    10,287.96x = 116,386,933.86
  5. Step 5: Solve for x
    x = 116,386,933.86/10,287.96
  6. Step 6: Final answer
    x = 11,312.93

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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.