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Finding the Fourth Proportional to 10,652.70, 15,978.93 and 4,805.22

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Solution

The fourth proportional to 10,652.70, 15,978.93 and 4,805.22 is: 7,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.70 : 15,978.93 = 4,805.22 : x
  2. Step 2: Convert to fraction form
    10,652.70/15,978.93 = 4,805.22/x
  3. Step 3: Cross multiply
    10,652.70x = 15,978.93 × 4,805.22
  4. Step 4: Simplify right side
    10,652.70x = 76,782,274.01
  5. Step 5: Solve for x
    x = 76,782,274.01/10,652.70
  6. Step 6: Final answer
    x = 7,207.78

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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.