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Finding the Fourth Proportional to 10,955.40, 16,404.48 and 9,405.60

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Solution

The fourth proportional to 10,955.40, 16,404.48 and 9,405.60 is: 14,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.40 : 16,404.48 = 9,405.60 : x
  2. Step 2: Convert to fraction form
    10,955.40/16,404.48 = 9,405.60/x
  3. Step 3: Cross multiply
    10,955.40x = 16,404.48 × 9,405.60
  4. Step 4: Simplify right side
    10,955.40x = 154,293,977.09
  5. Step 5: Solve for x
    x = 154,293,977.09/10,955.40
  6. Step 6: Final answer
    x = 14,083.83

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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.