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Finding the Fourth Proportional to 8,764, 12,095.76 and 5,037.28

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Solution

The fourth proportional to 8,764, 12,095.76 and 5,037.28 is: 6,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,764 : 12,095.76 = 5,037.28 : x
  2. Step 2: Convert to fraction form
    8,764/12,095.76 = 5,037.28/x
  3. Step 3: Cross multiply
    8,764x = 12,095.76 × 5,037.28
  4. Step 4: Simplify right side
    8,764x = 60,929,729.93
  5. Step 5: Solve for x
    x = 60,929,729.93/8,764
  6. Step 6: Final answer
    x = 6,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.