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Finding the Fourth Proportional to 10,057.80, 15,072.30 and 7,404.60

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Solution

The fourth proportional to 10,057.80, 15,072.30 and 7,404.60 is: 11,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.80 : 15,072.30 = 7,404.60 : x
  2. Step 2: Convert to fraction form
    10,057.80/15,072.30 = 7,404.60/x
  3. Step 3: Cross multiply
    10,057.80x = 15,072.30 × 7,404.60
  4. Step 4: Simplify right side
    10,057.80x = 111,604,352.58
  5. Step 5: Solve for x
    x = 111,604,352.58/10,057.80
  6. Step 6: Final answer
    x = 11,096.30

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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.