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Finding the Fourth Proportional to 7,630.42, 11,425.12 and 4,842.00

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Solution

The fourth proportional to 7,630.42, 11,425.12 and 4,842.00 is: 7,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.42 : 11,425.12 = 4,842.00 : x
  2. Step 2: Convert to fraction form
    7,630.42/11,425.12 = 4,842.00/x
  3. Step 3: Cross multiply
    7,630.42x = 11,425.12 × 4,842.00
  4. Step 4: Simplify right side
    7,630.42x = 55,320,392.62
  5. Step 5: Solve for x
    x = 55,320,392.62/7,630.42
  6. Step 6: Final answer
    x = 7,249.98

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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.