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Finding the Fourth Proportional to 10,663.88, 15,986.08 and 3,734.60

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Solution

The fourth proportional to 10,663.88, 15,986.08 and 3,734.60 is: 5,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.88 : 15,986.08 = 3,734.60 : x
  2. Step 2: Convert to fraction form
    10,663.88/15,986.08 = 3,734.60/x
  3. Step 3: Cross multiply
    10,663.88x = 15,986.08 × 3,734.60
  4. Step 4: Simplify right side
    10,663.88x = 59,701,614.37
  5. Step 5: Solve for x
    x = 59,701,614.37/10,663.88
  6. Step 6: Final answer
    x = 5,598.49

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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.