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Finding the Fourth Proportional to 11,485.92, 15,856.59 and 7,728.84

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Solution

The fourth proportional to 11,485.92, 15,856.59 and 7,728.84 is: 10,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.92 : 15,856.59 = 7,728.84 : x
  2. Step 2: Convert to fraction form
    11,485.92/15,856.59 = 7,728.84/x
  3. Step 3: Cross multiply
    11,485.92x = 15,856.59 × 7,728.84
  4. Step 4: Simplify right side
    11,485.92x = 122,553,047.06
  5. Step 5: Solve for x
    x = 122,553,047.06/11,485.92
  6. Step 6: Final answer
    x = 10,669.85

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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.