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Finding the Fourth Proportional to 7,472.76, 11,205.47 and 4,353.86

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Solution

The fourth proportional to 7,472.76, 11,205.47 and 4,353.86 is: 6,528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.76 : 11,205.47 = 4,353.86 : x
  2. Step 2: Convert to fraction form
    7,472.76/11,205.47 = 4,353.86/x
  3. Step 3: Cross multiply
    7,472.76x = 11,205.47 × 4,353.86
  4. Step 4: Simplify right side
    7,472.76x = 48,786,969.82
  5. Step 5: Solve for x
    x = 48,786,969.82/7,472.76
  6. Step 6: Final answer
    x = 6,528.64

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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.