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Finding the Fourth Proportional to 8,624.50, 11,902.08 and 5,090.74

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Solution

The fourth proportional to 8,624.50, 11,902.08 and 5,090.74 is: 7,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,624.50 : 11,902.08 = 5,090.74 : x
  2. Step 2: Convert to fraction form
    8,624.50/11,902.08 = 5,090.74/x
  3. Step 3: Cross multiply
    8,624.50x = 11,902.08 × 5,090.74
  4. Step 4: Simplify right side
    8,624.50x = 60,590,394.74
  5. Step 5: Solve for x
    x = 60,590,394.74/8,624.50
  6. Step 6: Final answer
    x = 7,025.38

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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.