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Finding the Fourth Proportional to 10,914.60, 16,376.74 and 5,719.26

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Solution

The fourth proportional to 10,914.60, 16,376.74 and 5,719.26 is: 8,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.60 : 16,376.74 = 5,719.26 : x
  2. Step 2: Convert to fraction form
    10,914.60/16,376.74 = 5,719.26/x
  3. Step 3: Cross multiply
    10,914.60x = 16,376.74 × 5,719.26
  4. Step 4: Simplify right side
    10,914.60x = 93,662,834.01
  5. Step 5: Solve for x
    x = 93,662,834.01/10,914.60
  6. Step 6: Final answer
    x = 8,581.43

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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.