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Finding the Fourth Proportional to 10,072, 15,109.36 and 3,147.04

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Solution

The fourth proportional to 10,072, 15,109.36 and 3,147.04 is: 4,720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 15,109.36 = 3,147.04 : x
  2. Step 2: Convert to fraction form
    10,072/15,109.36 = 3,147.04/x
  3. Step 3: Cross multiply
    10,072x = 15,109.36 × 3,147.04
  4. Step 4: Simplify right side
    10,072x = 47,549,760.29
  5. Step 5: Solve for x
    x = 47,549,760.29/10,072
  6. Step 6: Final answer
    x = 4,720.98

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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.