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Finding the Fourth Proportional to 7,483.92, 10,335.24 and 6,162

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Solution

The fourth proportional to 7,483.92, 10,335.24 and 6,162 is: 8,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.92 : 10,335.24 = 6,162 : x
  2. Step 2: Convert to fraction form
    7,483.92/10,335.24 = 6,162/x
  3. Step 3: Cross multiply
    7,483.92x = 10,335.24 × 6,162
  4. Step 4: Simplify right side
    7,483.92x = 63,685,748.88
  5. Step 5: Solve for x
    x = 63,685,748.88/7,483.92
  6. Step 6: Final answer
    x = 8,509.68

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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.