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Finding the Fourth Proportional to 10,894.08, 16,346.70 and 10,077.60

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Solution

The fourth proportional to 10,894.08, 16,346.70 and 10,077.60 is: 15,121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.08 : 16,346.70 = 10,077.60 : x
  2. Step 2: Convert to fraction form
    10,894.08/16,346.70 = 10,077.60/x
  3. Step 3: Cross multiply
    10,894.08x = 16,346.70 × 10,077.60
  4. Step 4: Simplify right side
    10,894.08x = 164,735,503.92
  5. Step 5: Solve for x
    x = 164,735,503.92/10,894.08
  6. Step 6: Final answer
    x = 15,121.56

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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.