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Finding the Fourth Proportional to 11,277.36, 15,561.24 and 6,558

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Solution

The fourth proportional to 11,277.36, 15,561.24 and 6,558 is: 9,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.36 : 15,561.24 = 6,558 : x
  2. Step 2: Convert to fraction form
    11,277.36/15,561.24 = 6,558/x
  3. Step 3: Cross multiply
    11,277.36x = 15,561.24 × 6,558
  4. Step 4: Simplify right side
    11,277.36x = 102,050,611.92
  5. Step 5: Solve for x
    x = 102,050,611.92/11,277.36
  6. Step 6: Final answer
    x = 9,049.16

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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.