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Finding the Fourth Proportional to 7,698.41, 11,549.24 and 2,503.88

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Solution

The fourth proportional to 7,698.41, 11,549.24 and 2,503.88 is: 3,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.41 : 11,549.24 = 2,503.88 : x
  2. Step 2: Convert to fraction form
    7,698.41/11,549.24 = 2,503.88/x
  3. Step 3: Cross multiply
    7,698.41x = 11,549.24 × 2,503.88
  4. Step 4: Simplify right side
    7,698.41x = 28,917,840.79
  5. Step 5: Solve for x
    x = 28,917,840.79/7,698.41
  6. Step 6: Final answer
    x = 3,756.34

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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.