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Finding the Fourth Proportional to 8,509.31, 11,741.12 and 4,971.84

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Solution

The fourth proportional to 8,509.31, 11,741.12 and 4,971.84 is: 6,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.31 : 11,741.12 = 4,971.84 : x
  2. Step 2: Convert to fraction form
    8,509.31/11,741.12 = 4,971.84/x
  3. Step 3: Cross multiply
    8,509.31x = 11,741.12 × 4,971.84
  4. Step 4: Simplify right side
    8,509.31x = 58,374,945.20
  5. Step 5: Solve for x
    x = 58,374,945.20/8,509.31
  6. Step 6: Final answer
    x = 6,860.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.