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Finding the Fourth Proportional to 10,354.68, 14,289.48 and 5,638.92

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Solution

The fourth proportional to 10,354.68, 14,289.48 and 5,638.92 is: 7,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.68 : 14,289.48 = 5,638.92 : x
  2. Step 2: Convert to fraction form
    10,354.68/14,289.48 = 5,638.92/x
  3. Step 3: Cross multiply
    10,354.68x = 14,289.48 × 5,638.92
  4. Step 4: Simplify right side
    10,354.68x = 80,577,234.56
  5. Step 5: Solve for x
    x = 80,577,234.56/10,354.68
  6. Step 6: Final answer
    x = 7,781.72

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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.