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Finding the Fourth Proportional to 11,967.60, 16,507.08 and 7,245.84

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Solution

The fourth proportional to 11,967.60, 16,507.08 and 7,245.84 is: 9,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.60 : 16,507.08 = 7,245.84 : x
  2. Step 2: Convert to fraction form
    11,967.60/16,507.08 = 7,245.84/x
  3. Step 3: Cross multiply
    11,967.60x = 16,507.08 × 7,245.84
  4. Step 4: Simplify right side
    11,967.60x = 119,607,660.55
  5. Step 5: Solve for x
    x = 119,607,660.55/11,967.60
  6. Step 6: Final answer
    x = 9,994.29

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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.