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Finding the Fourth Proportional to 10,113.82, 15,168.90 and 7,180.20

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Solution

The fourth proportional to 10,113.82, 15,168.90 and 7,180.20 is: 10,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.82 : 15,168.90 = 7,180.20 : x
  2. Step 2: Convert to fraction form
    10,113.82/15,168.90 = 7,180.20/x
  3. Step 3: Cross multiply
    10,113.82x = 15,168.90 × 7,180.20
  4. Step 4: Simplify right side
    10,113.82x = 108,915,762.71
  5. Step 5: Solve for x
    x = 108,915,762.71/10,113.82
  6. Step 6: Final answer
    x = 10,769.01

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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.