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Finding the Fourth Proportional to 11,747.56, 16,211.88 and 7,271.32

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Solution

The fourth proportional to 11,747.56, 16,211.88 and 7,271.32 is: 10,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.56 : 16,211.88 = 7,271.32 : x
  2. Step 2: Convert to fraction form
    11,747.56/16,211.88 = 7,271.32/x
  3. Step 3: Cross multiply
    11,747.56x = 16,211.88 × 7,271.32
  4. Step 4: Simplify right side
    11,747.56x = 117,881,767.28
  5. Step 5: Solve for x
    x = 117,881,767.28/11,747.56
  6. Step 6: Final answer
    x = 10,034.57

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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.