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Finding the Fourth Proportional to 11,203.56, 15,460.31 and 6,166.80

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Solution

The fourth proportional to 11,203.56, 15,460.31 and 6,166.80 is: 8,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.56 : 15,460.31 = 6,166.80 : x
  2. Step 2: Convert to fraction form
    11,203.56/15,460.31 = 6,166.80/x
  3. Step 3: Cross multiply
    11,203.56x = 15,460.31 × 6,166.80
  4. Step 4: Simplify right side
    11,203.56x = 95,340,639.71
  5. Step 5: Solve for x
    x = 95,340,639.71/11,203.56
  6. Step 6: Final answer
    x = 8,509.85

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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.