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Finding the Fourth Proportional to 10,287.86, 15,430.21 and 3,266.96

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Solution

The fourth proportional to 10,287.86, 15,430.21 and 3,266.96 is: 4,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.86 : 15,430.21 = 3,266.96 : x
  2. Step 2: Convert to fraction form
    10,287.86/15,430.21 = 3,266.96/x
  3. Step 3: Cross multiply
    10,287.86x = 15,430.21 × 3,266.96
  4. Step 4: Simplify right side
    10,287.86x = 50,409,785.38
  5. Step 5: Solve for x
    x = 50,409,785.38/10,287.86
  6. Step 6: Final answer
    x = 4,899.93

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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.