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Finding the Fourth Proportional to 10,144.89, 15,210.54 and 4,220.22

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Solution

The fourth proportional to 10,144.89, 15,210.54 and 4,220.22 is: 6,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.89 : 15,210.54 = 4,220.22 : x
  2. Step 2: Convert to fraction form
    10,144.89/15,210.54 = 4,220.22/x
  3. Step 3: Cross multiply
    10,144.89x = 15,210.54 × 4,220.22
  4. Step 4: Simplify right side
    10,144.89x = 64,191,825.12
  5. Step 5: Solve for x
    x = 64,191,825.12/10,144.89
  6. Step 6: Final answer
    x = 6,327.50

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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.