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Finding the Fourth Proportional to 10,354.65, 14,289.43 and 5,638.95

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Solution

The fourth proportional to 10,354.65, 14,289.43 and 5,638.95 is: 7,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.65 : 14,289.43 = 5,638.95 : x
  2. Step 2: Convert to fraction form
    10,354.65/14,289.43 = 5,638.95/x
  3. Step 3: Cross multiply
    10,354.65x = 14,289.43 × 5,638.95
  4. Step 4: Simplify right side
    10,354.65x = 80,577,381.30
  5. Step 5: Solve for x
    x = 80,577,381.30/10,354.65
  6. Step 6: Final answer
    x = 7,781.76

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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.