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Finding the Fourth Proportional to 11,201.80, 15,457.08 and 6,166.30

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Solution

The fourth proportional to 11,201.80, 15,457.08 and 6,166.30 is: 8,508.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.80 : 15,457.08 = 6,166.30 : x
  2. Step 2: Convert to fraction form
    11,201.80/15,457.08 = 6,166.30/x
  3. Step 3: Cross multiply
    11,201.80x = 15,457.08 × 6,166.30
  4. Step 4: Simplify right side
    11,201.80x = 95,312,992.40
  5. Step 5: Solve for x
    x = 95,312,992.40/11,201.80
  6. Step 6: Final answer
    x = 8,508.72

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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.