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Finding the Fourth Proportional to 10,958.40, 16,436.16 and 5,409.60

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Solution

The fourth proportional to 10,958.40, 16,436.16 and 5,409.60 is: 8,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,958.40 : 16,436.16 = 5,409.60 : x
  2. Step 2: Convert to fraction form
    10,958.40/16,436.16 = 5,409.60/x
  3. Step 3: Cross multiply
    10,958.40x = 16,436.16 × 5,409.60
  4. Step 4: Simplify right side
    10,958.40x = 88,913,051.14
  5. Step 5: Solve for x
    x = 88,913,051.14/10,958.40
  6. Step 6: Final answer
    x = 8,113.69

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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.