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Finding the Fourth Proportional to 7,699.45, 10,627.97 and 4,555.63

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Solution

The fourth proportional to 7,699.45, 10,627.97 and 4,555.63 is: 6,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.45 : 10,627.97 = 4,555.63 : x
  2. Step 2: Convert to fraction form
    7,699.45/10,627.97 = 4,555.63/x
  3. Step 3: Cross multiply
    7,699.45x = 10,627.97 × 4,555.63
  4. Step 4: Simplify right side
    7,699.45x = 48,417,023.05
  5. Step 5: Solve for x
    x = 48,417,023.05/7,699.45
  6. Step 6: Final answer
    x = 6,288.38

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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.