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Finding the Fourth Proportional to 7,666.72, 11,497.64 and 2,471.38

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Solution

The fourth proportional to 7,666.72, 11,497.64 and 2,471.38 is: 3,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.72 : 11,497.64 = 2,471.38 : x
  2. Step 2: Convert to fraction form
    7,666.72/11,497.64 = 2,471.38/x
  3. Step 3: Cross multiply
    7,666.72x = 11,497.64 × 2,471.38
  4. Step 4: Simplify right side
    7,666.72x = 28,415,037.54
  5. Step 5: Solve for x
    x = 28,415,037.54/7,666.72
  6. Step 6: Final answer
    x = 3,706.28

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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.