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Finding the Fourth Proportional to 10,433.76, 15,650.23 and 4,191.90

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Solution

The fourth proportional to 10,433.76, 15,650.23 and 4,191.90 is: 6,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.76 : 15,650.23 = 4,191.90 : x
  2. Step 2: Convert to fraction form
    10,433.76/15,650.23 = 4,191.90/x
  3. Step 3: Cross multiply
    10,433.76x = 15,650.23 × 4,191.90
  4. Step 4: Simplify right side
    10,433.76x = 65,604,199.14
  5. Step 5: Solve for x
    x = 65,604,199.14/10,433.76
  6. Step 6: Final answer
    x = 6,287.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.