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Finding the Fourth Proportional to 10,114.80, 15,172.24 and 3,094.80

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Solution

The fourth proportional to 10,114.80, 15,172.24 and 3,094.80 is: 4,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.80 : 15,172.24 = 3,094.80 : x
  2. Step 2: Convert to fraction form
    10,114.80/15,172.24 = 3,094.80/x
  3. Step 3: Cross multiply
    10,114.80x = 15,172.24 × 3,094.80
  4. Step 4: Simplify right side
    10,114.80x = 46,955,048.35
  5. Step 5: Solve for x
    x = 46,955,048.35/10,114.80
  6. Step 6: Final answer
    x = 4,642.21

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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.