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Finding the Fourth Proportional to 10,047.20, 15,072.96 and 4,200.80

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Solution

The fourth proportional to 10,047.20, 15,072.96 and 4,200.80 is: 6,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.20 : 15,072.96 = 4,200.80 : x
  2. Step 2: Convert to fraction form
    10,047.20/15,072.96 = 4,200.80/x
  3. Step 3: Cross multiply
    10,047.20x = 15,072.96 × 4,200.80
  4. Step 4: Simplify right side
    10,047.20x = 63,318,490.37
  5. Step 5: Solve for x
    x = 63,318,490.37/10,047.20
  6. Step 6: Final answer
    x = 6,302.10

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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.