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Finding the Fourth Proportional to 10,353.12, 15,537.20 and 7,763.04

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Solution

The fourth proportional to 10,353.12, 15,537.20 and 7,763.04 is: 11,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.12 : 15,537.20 = 7,763.04 : x
  2. Step 2: Convert to fraction form
    10,353.12/15,537.20 = 7,763.04/x
  3. Step 3: Cross multiply
    10,353.12x = 15,537.20 × 7,763.04
  4. Step 4: Simplify right side
    10,353.12x = 120,615,905.09
  5. Step 5: Solve for x
    x = 120,615,905.09/10,353.12
  6. Step 6: Final answer
    x = 11,650.20

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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.