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Finding the Fourth Proportional to 8,509.34, 11,741.18 and 4,971.87

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Solution

The fourth proportional to 8,509.34, 11,741.18 and 4,971.87 is: 6,860.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.34 : 11,741.18 = 4,971.87 : x
  2. Step 2: Convert to fraction form
    8,509.34/11,741.18 = 4,971.87/x
  3. Step 3: Cross multiply
    8,509.34x = 11,741.18 × 4,971.87
  4. Step 4: Simplify right side
    8,509.34x = 58,375,537.04
  5. Step 5: Solve for x
    x = 58,375,537.04/8,509.34
  6. Step 6: Final answer
    x = 6,860.18

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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.