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Finding the Fourth Proportional to 10,717.60, 16,076.40 and 9,745.60

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Solution

The fourth proportional to 10,717.60, 16,076.40 and 9,745.60 is: 14,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.60 : 16,076.40 = 9,745.60 : x
  2. Step 2: Convert to fraction form
    10,717.60/16,076.40 = 9,745.60/x
  3. Step 3: Cross multiply
    10,717.60x = 16,076.40 × 9,745.60
  4. Step 4: Simplify right side
    10,717.60x = 156,674,163.84
  5. Step 5: Solve for x
    x = 156,674,163.84/10,717.60
  6. Step 6: Final answer
    x = 14,618.40

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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.