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Finding the Fourth Proportional to 8,090.02, 12,114.69 and 5,119.50

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Solution

The fourth proportional to 8,090.02, 12,114.69 and 5,119.50 is: 7,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.02 : 12,114.69 = 5,119.50 : x
  2. Step 2: Convert to fraction form
    8,090.02/12,114.69 = 5,119.50/x
  3. Step 3: Cross multiply
    8,090.02x = 12,114.69 × 5,119.50
  4. Step 4: Simplify right side
    8,090.02x = 62,021,155.46
  5. Step 5: Solve for x
    x = 62,021,155.46/8,090.02
  6. Step 6: Final answer
    x = 7,666.38

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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.