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Finding the Fourth Proportional to 7,463.86, 11,179.58 and 7,256.50

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Solution

The fourth proportional to 7,463.86, 11,179.58 and 7,256.50 is: 10,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.86 : 11,179.58 = 7,256.50 : x
  2. Step 2: Convert to fraction form
    7,463.86/11,179.58 = 7,256.50/x
  3. Step 3: Cross multiply
    7,463.86x = 11,179.58 × 7,256.50
  4. Step 4: Simplify right side
    7,463.86x = 81,124,622.27
  5. Step 5: Solve for x
    x = 81,124,622.27/7,463.86
  6. Step 6: Final answer
    x = 10,868.99

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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.