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Finding the Fourth Proportional to 11,314.60, 16,977.03 and 4,742.26

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Solution

The fourth proportional to 11,314.60, 16,977.03 and 4,742.26 is: 7,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.60 : 16,977.03 = 4,742.26 : x
  2. Step 2: Convert to fraction form
    11,314.60/16,977.03 = 4,742.26/x
  3. Step 3: Cross multiply
    11,314.60x = 16,977.03 × 4,742.26
  4. Step 4: Simplify right side
    11,314.60x = 80,509,490.29
  5. Step 5: Solve for x
    x = 80,509,490.29/11,314.60
  6. Step 6: Final answer
    x = 7,115.54

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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.