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Finding the Fourth Proportional to 10,135.59, 15,202.64 and 3,561.84

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Solution

The fourth proportional to 10,135.59, 15,202.64 and 3,561.84 is: 5,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.59 : 15,202.64 = 3,561.84 : x
  2. Step 2: Convert to fraction form
    10,135.59/15,202.64 = 3,561.84/x
  3. Step 3: Cross multiply
    10,135.59x = 15,202.64 × 3,561.84
  4. Step 4: Simplify right side
    10,135.59x = 54,149,353.45
  5. Step 5: Solve for x
    x = 54,149,353.45/10,135.59
  6. Step 6: Final answer
    x = 5,342.50

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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.