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Finding the Fourth Proportional to 11,766.42, 17,649.41 and 4,746.29

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Solution

The fourth proportional to 11,766.42, 17,649.41 and 4,746.29 is: 7,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.42 : 17,649.41 = 4,746.29 : x
  2. Step 2: Convert to fraction form
    11,766.42/17,649.41 = 4,746.29/x
  3. Step 3: Cross multiply
    11,766.42x = 17,649.41 × 4,746.29
  4. Step 4: Simplify right side
    11,766.42x = 83,769,106.21
  5. Step 5: Solve for x
    x = 83,769,106.21/11,766.42
  6. Step 6: Final answer
    x = 7,119.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.