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Finding the Fourth Proportional to 11,091.92, 15,307.74 and 6,313.36

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Solution

The fourth proportional to 11,091.92, 15,307.74 and 6,313.36 is: 8,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091.92 : 15,307.74 = 6,313.36 : x
  2. Step 2: Convert to fraction form
    11,091.92/15,307.74 = 6,313.36/x
  3. Step 3: Cross multiply
    11,091.92x = 15,307.74 × 6,313.36
  4. Step 4: Simplify right side
    11,091.92x = 96,643,273.41
  5. Step 5: Solve for x
    x = 96,643,273.41/11,091.92
  6. Step 6: Final answer
    x = 8,712.94

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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.