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Finding the Fourth Proportional to 11,200.62, 15,457.78 and 6,165.78

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Solution

The fourth proportional to 11,200.62, 15,457.78 and 6,165.78 is: 8,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.62 : 15,457.78 = 6,165.78 : x
  2. Step 2: Convert to fraction form
    11,200.62/15,457.78 = 6,165.78/x
  3. Step 3: Cross multiply
    11,200.62x = 15,457.78 × 6,165.78
  4. Step 4: Simplify right side
    11,200.62x = 95,309,270.77
  5. Step 5: Solve for x
    x = 95,309,270.77/11,200.62
  6. Step 6: Final answer
    x = 8,509.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.