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Finding the Fourth Proportional to 10,652.16, 15,978.28 and 3,256.59

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Solution

The fourth proportional to 10,652.16, 15,978.28 and 3,256.59 is: 4,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.16 : 15,978.28 = 3,256.59 : x
  2. Step 2: Convert to fraction form
    10,652.16/15,978.28 = 3,256.59/x
  3. Step 3: Cross multiply
    10,652.16x = 15,978.28 × 3,256.59
  4. Step 4: Simplify right side
    10,652.16x = 52,034,706.87
  5. Step 5: Solve for x
    x = 52,034,706.87/10,652.16
  6. Step 6: Final answer
    x = 4,884.90

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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.