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Finding the Fourth Proportional to 10,917.60, 16,376.40 and 10,072.80

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Solution

The fourth proportional to 10,917.60, 16,376.40 and 10,072.80 is: 15,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.60 : 16,376.40 = 10,072.80 : x
  2. Step 2: Convert to fraction form
    10,917.60/16,376.40 = 10,072.80/x
  3. Step 3: Cross multiply
    10,917.60x = 16,376.40 × 10,072.80
  4. Step 4: Simplify right side
    10,917.60x = 164,956,201.92
  5. Step 5: Solve for x
    x = 164,956,201.92/10,917.60
  6. Step 6: Final answer
    x = 15,109.20

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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.