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Finding the Fourth Proportional to 10,937.80, 15,094.16 and 5,969.80

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Solution

The fourth proportional to 10,937.80, 15,094.16 and 5,969.80 is: 8,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.80 : 15,094.16 = 5,969.80 : x
  2. Step 2: Convert to fraction form
    10,937.80/15,094.16 = 5,969.80/x
  3. Step 3: Cross multiply
    10,937.80x = 15,094.16 × 5,969.80
  4. Step 4: Simplify right side
    10,937.80x = 90,109,116.37
  5. Step 5: Solve for x
    x = 90,109,116.37/10,937.80
  6. Step 6: Final answer
    x = 8,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.