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Finding the Fourth Proportional to 7,736.61, 11,602.76 and 2,471.61

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Solution

The fourth proportional to 7,736.61, 11,602.76 and 2,471.61 is: 3,706.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.61 : 11,602.76 = 2,471.61 : x
  2. Step 2: Convert to fraction form
    7,736.61/11,602.76 = 2,471.61/x
  3. Step 3: Cross multiply
    7,736.61x = 11,602.76 × 2,471.61
  4. Step 4: Simplify right side
    7,736.61x = 28,677,485.29
  5. Step 5: Solve for x
    x = 28,677,485.29/7,736.61
  6. Step 6: Final answer
    x = 3,706.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.