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Finding the Fourth Proportional to 10,883.40, 16,327.08 and 7,188.72

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Solution

The fourth proportional to 10,883.40, 16,327.08 and 7,188.72 is: 10,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.40 : 16,327.08 = 7,188.72 : x
  2. Step 2: Convert to fraction form
    10,883.40/16,327.08 = 7,188.72/x
  3. Step 3: Cross multiply
    10,883.40x = 16,327.08 × 7,188.72
  4. Step 4: Simplify right side
    10,883.40x = 117,370,806.54
  5. Step 5: Solve for x
    x = 117,370,806.54/10,883.40
  6. Step 6: Final answer
    x = 10,784.39

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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.