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Finding the Fourth Proportional to 7,707.42, 10,636.31 and 4,563

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Solution

The fourth proportional to 7,707.42, 10,636.31 and 4,563 is: 6,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.42 : 10,636.31 = 4,563 : x
  2. Step 2: Convert to fraction form
    7,707.42/10,636.31 = 4,563/x
  3. Step 3: Cross multiply
    7,707.42x = 10,636.31 × 4,563
  4. Step 4: Simplify right side
    7,707.42x = 48,533,493.94
  5. Step 5: Solve for x
    x = 48,533,493.94/7,707.42
  6. Step 6: Final answer
    x = 6,296.98

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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.