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Finding the Fourth Proportional to 11,641.25, 17,464.91 and 7,483.34

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Solution

The fourth proportional to 11,641.25, 17,464.91 and 7,483.34 is: 11,226.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.25 : 17,464.91 = 7,483.34 : x
  2. Step 2: Convert to fraction form
    11,641.25/17,464.91 = 7,483.34/x
  3. Step 3: Cross multiply
    11,641.25x = 17,464.91 × 7,483.34
  4. Step 4: Simplify right side
    11,641.25x = 130,695,734.86
  5. Step 5: Solve for x
    x = 130,695,734.86/11,641.25
  6. Step 6: Final answer
    x = 11,226.96

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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.