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Finding the Fourth Proportional to 11,762.31, 17,645.75 and 4,742.96

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Solution

The fourth proportional to 11,762.31, 17,645.75 and 4,742.96 is: 7,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.31 : 17,645.75 = 4,742.96 : x
  2. Step 2: Convert to fraction form
    11,762.31/17,645.75 = 4,742.96/x
  3. Step 3: Cross multiply
    11,762.31x = 17,645.75 × 4,742.96
  4. Step 4: Simplify right side
    11,762.31x = 83,692,992.26
  5. Step 5: Solve for x
    x = 83,692,992.26/11,762.31
  6. Step 6: Final answer
    x = 7,115.35

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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.