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Finding the Fourth Proportional to 10,898.16, 16,338.60 and 4,326

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Solution

The fourth proportional to 10,898.16, 16,338.60 and 4,326 is: 6,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.16 : 16,338.60 = 4,326 : x
  2. Step 2: Convert to fraction form
    10,898.16/16,338.60 = 4,326/x
  3. Step 3: Cross multiply
    10,898.16x = 16,338.60 × 4,326
  4. Step 4: Simplify right side
    10,898.16x = 70,680,783.60
  5. Step 5: Solve for x
    x = 70,680,783.60/10,898.16
  6. Step 6: Final answer
    x = 6,485.57

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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.