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Finding the Fourth Proportional to 11,307.48, 16,944.76 and 5,457.24

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Solution

The fourth proportional to 11,307.48, 16,944.76 and 5,457.24 is: 8,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.48 : 16,944.76 = 5,457.24 : x
  2. Step 2: Convert to fraction form
    11,307.48/16,944.76 = 5,457.24/x
  3. Step 3: Cross multiply
    11,307.48x = 16,944.76 × 5,457.24
  4. Step 4: Simplify right side
    11,307.48x = 92,471,622.06
  5. Step 5: Solve for x
    x = 92,471,622.06/11,307.48
  6. Step 6: Final answer
    x = 8,177.92

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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.