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Finding the Fourth Proportional to 7,478.16, 11,211.76 and 2,546.47

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Solution

The fourth proportional to 7,478.16, 11,211.76 and 2,546.47 is: 3,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.16 : 11,211.76 = 2,546.47 : x
  2. Step 2: Convert to fraction form
    7,478.16/11,211.76 = 2,546.47/x
  3. Step 3: Cross multiply
    7,478.16x = 11,211.76 × 2,546.47
  4. Step 4: Simplify right side
    7,478.16x = 28,550,410.49
  5. Step 5: Solve for x
    x = 28,550,410.49/7,478.16
  6. Step 6: Final answer
    x = 3,817.84

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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.