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Finding the Fourth Proportional to 11,281.42, 16,903.64 and 7,988.60

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Solution

The fourth proportional to 11,281.42, 16,903.64 and 7,988.60 is: 11,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,281.42 : 16,903.64 = 7,988.60 : x
  2. Step 2: Convert to fraction form
    11,281.42/16,903.64 = 7,988.60/x
  3. Step 3: Cross multiply
    11,281.42x = 16,903.64 × 7,988.60
  4. Step 4: Simplify right side
    11,281.42x = 135,036,378.56
  5. Step 5: Solve for x
    x = 135,036,378.56/11,281.42
  6. Step 6: Final answer
    x = 11,969.80

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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.