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Finding the Fourth Proportional to 11,619.60, 16,035 and 6,314.31

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Solution

The fourth proportional to 11,619.60, 16,035 and 6,314.31 is: 8,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.60 : 16,035 = 6,314.31 : x
  2. Step 2: Convert to fraction form
    11,619.60/16,035 = 6,314.31/x
  3. Step 3: Cross multiply
    11,619.60x = 16,035 × 6,314.31
  4. Step 4: Simplify right side
    11,619.60x = 101,249,960.85
  5. Step 5: Solve for x
    x = 101,249,960.85/11,619.60
  6. Step 6: Final answer
    x = 8,713.72

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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.