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Finding the Fourth Proportional to 7,684.01, 11,533.91 and 3,985.24

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Solution

The fourth proportional to 7,684.01, 11,533.91 and 3,985.24 is: 5,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.01 : 11,533.91 = 3,985.24 : x
  2. Step 2: Convert to fraction form
    7,684.01/11,533.91 = 3,985.24/x
  3. Step 3: Cross multiply
    7,684.01x = 11,533.91 × 3,985.24
  4. Step 4: Simplify right side
    7,684.01x = 45,965,393.98
  5. Step 5: Solve for x
    x = 45,965,393.98/7,684.01
  6. Step 6: Final answer
    x = 5,981.96

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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.