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Finding the Fourth Proportional to 11,202.24, 15,457.68 and 6,486.48

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Solution

The fourth proportional to 11,202.24, 15,457.68 and 6,486.48 is: 8,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.24 : 15,457.68 = 6,486.48 : x
  2. Step 2: Convert to fraction form
    11,202.24/15,457.68 = 6,486.48/x
  3. Step 3: Cross multiply
    11,202.24x = 15,457.68 × 6,486.48
  4. Step 4: Simplify right side
    11,202.24x = 100,265,932.17
  5. Step 5: Solve for x
    x = 100,265,932.17/11,202.24
  6. Step 6: Final answer
    x = 8,950.53

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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.