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Finding the Fourth Proportional to 10,563.13, 15,840.02 and 3,166.21

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Solution

The fourth proportional to 10,563.13, 15,840.02 and 3,166.21 is: 4,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563.13 : 15,840.02 = 3,166.21 : x
  2. Step 2: Convert to fraction form
    10,563.13/15,840.02 = 3,166.21/x
  3. Step 3: Cross multiply
    10,563.13x = 15,840.02 × 3,166.21
  4. Step 4: Simplify right side
    10,563.13x = 50,152,798.04
  5. Step 5: Solve for x
    x = 50,152,798.04/10,563.13
  6. Step 6: Final answer
    x = 4,747.91

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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.