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Finding the Fourth Proportional to 11,762.08, 17,627.44 and 6,214.12

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Solution

The fourth proportional to 11,762.08, 17,627.44 and 6,214.12 is: 9,312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.08 : 17,627.44 = 6,214.12 : x
  2. Step 2: Convert to fraction form
    11,762.08/17,627.44 = 6,214.12/x
  3. Step 3: Cross multiply
    11,762.08x = 17,627.44 × 6,214.12
  4. Step 4: Simplify right side
    11,762.08x = 109,539,027.45
  5. Step 5: Solve for x
    x = 109,539,027.45/11,762.08
  6. Step 6: Final answer
    x = 9,312.90

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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.