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Finding the Fourth Proportional to 11,829.63, 16,327.74 and 7,113

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Solution

The fourth proportional to 11,829.63, 16,327.74 and 7,113 is: 9,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.63 : 16,327.74 = 7,113 : x
  2. Step 2: Convert to fraction form
    11,829.63/16,327.74 = 7,113/x
  3. Step 3: Cross multiply
    11,829.63x = 16,327.74 × 7,113
  4. Step 4: Simplify right side
    11,829.63x = 116,139,214.62
  5. Step 5: Solve for x
    x = 116,139,214.62/11,829.63
  6. Step 6: Final answer
    x = 9,817.65

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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.