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Finding the Fourth Proportional to 7,366.16, 11,045.76 and 2,171

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Solution

The fourth proportional to 7,366.16, 11,045.76 and 2,171 is: 3,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366.16 : 11,045.76 = 2,171 : x
  2. Step 2: Convert to fraction form
    7,366.16/11,045.76 = 2,171/x
  3. Step 3: Cross multiply
    7,366.16x = 11,045.76 × 2,171
  4. Step 4: Simplify right side
    7,366.16x = 23,980,344.96
  5. Step 5: Solve for x
    x = 23,980,344.96/7,366.16
  6. Step 6: Final answer
    x = 3,255.47

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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.