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Finding the Fourth Proportional to 10,652.19, 15,978.33 and 3,256.64

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Solution

The fourth proportional to 10,652.19, 15,978.33 and 3,256.64 is: 4,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.19 : 15,978.33 = 3,256.64 : x
  2. Step 2: Convert to fraction form
    10,652.19/15,978.33 = 3,256.64/x
  3. Step 3: Cross multiply
    10,652.19x = 15,978.33 × 3,256.64
  4. Step 4: Simplify right side
    10,652.19x = 52,035,594.54
  5. Step 5: Solve for x
    x = 52,035,594.54/10,652.19
  6. Step 6: Final answer
    x = 4,884.97

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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.