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Finding the Fourth Proportional to 10,810.92, 16,230.96 and 4,969.20

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Solution

The fourth proportional to 10,810.92, 16,230.96 and 4,969.20 is: 7,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.92 : 16,230.96 = 4,969.20 : x
  2. Step 2: Convert to fraction form
    10,810.92/16,230.96 = 4,969.20/x
  3. Step 3: Cross multiply
    10,810.92x = 16,230.96 × 4,969.20
  4. Step 4: Simplify right side
    10,810.92x = 80,654,886.43
  5. Step 5: Solve for x
    x = 80,654,886.43/10,810.92
  6. Step 6: Final answer
    x = 7,460.50

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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.