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Finding the Fourth Proportional to 10,094.63, 15,041.60 and 8,990.49

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Solution

The fourth proportional to 10,094.63, 15,041.60 and 8,990.49 is: 13,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.63 : 15,041.60 = 8,990.49 : x
  2. Step 2: Convert to fraction form
    10,094.63/15,041.60 = 8,990.49/x
  3. Step 3: Cross multiply
    10,094.63x = 15,041.60 × 8,990.49
  4. Step 4: Simplify right side
    10,094.63x = 135,231,399.55
  5. Step 5: Solve for x
    x = 135,231,399.55/10,094.63
  6. Step 6: Final answer
    x = 13,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.