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Finding the Fourth Proportional to 7,672.86, 11,510.37 and 2,476.98

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Solution

The fourth proportional to 7,672.86, 11,510.37 and 2,476.98 is: 3,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.86 : 11,510.37 = 2,476.98 : x
  2. Step 2: Convert to fraction form
    7,672.86/11,510.37 = 2,476.98/x
  3. Step 3: Cross multiply
    7,672.86x = 11,510.37 × 2,476.98
  4. Step 4: Simplify right side
    7,672.86x = 28,510,956.28
  5. Step 5: Solve for x
    x = 28,510,956.28/7,672.86
  6. Step 6: Final answer
    x = 3,715.82

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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.