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Finding the Fourth Proportional to 8,347.57, 11,519.46 and 4,991.14

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Solution

The fourth proportional to 8,347.57, 11,519.46 and 4,991.14 is: 6,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.57 : 11,519.46 = 4,991.14 : x
  2. Step 2: Convert to fraction form
    8,347.57/11,519.46 = 4,991.14/x
  3. Step 3: Cross multiply
    8,347.57x = 11,519.46 × 4,991.14
  4. Step 4: Simplify right side
    8,347.57x = 57,495,237.58
  5. Step 5: Solve for x
    x = 57,495,237.58/8,347.57
  6. Step 6: Final answer
    x = 6,887.66

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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.