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Finding the Fourth Proportional to 7,624.44, 10,550.42 and 6,503.56

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Solution

The fourth proportional to 7,624.44, 10,550.42 and 6,503.56 is: 8,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.44 : 10,550.42 = 6,503.56 : x
  2. Step 2: Convert to fraction form
    7,624.44/10,550.42 = 6,503.56/x
  3. Step 3: Cross multiply
    7,624.44x = 10,550.42 × 6,503.56
  4. Step 4: Simplify right side
    7,624.44x = 68,615,289.50
  5. Step 5: Solve for x
    x = 68,615,289.50/7,624.44
  6. Step 6: Final answer
    x = 8,999.39

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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.