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Finding the Fourth Proportional to 10,285.67, 15,430.94 and 3,266.01

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Solution

The fourth proportional to 10,285.67, 15,430.94 and 3,266.01 is: 4,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.67 : 15,430.94 = 3,266.01 : x
  2. Step 2: Convert to fraction form
    10,285.67/15,430.94 = 3,266.01/x
  3. Step 3: Cross multiply
    10,285.67x = 15,430.94 × 3,266.01
  4. Step 4: Simplify right side
    10,285.67x = 50,397,588.02
  5. Step 5: Solve for x
    x = 50,397,588.02/10,285.67
  6. Step 6: Final answer
    x = 4,899.79

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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.