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Finding the Fourth Proportional to 10,853.40, 16,280.10 and 5,604.60

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Solution

The fourth proportional to 10,853.40, 16,280.10 and 5,604.60 is: 8,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,853.40 : 16,280.10 = 5,604.60 : x
  2. Step 2: Convert to fraction form
    10,853.40/16,280.10 = 5,604.60/x
  3. Step 3: Cross multiply
    10,853.40x = 16,280.10 × 5,604.60
  4. Step 4: Simplify right side
    10,853.40x = 91,243,448.46
  5. Step 5: Solve for x
    x = 91,243,448.46/10,853.40
  6. Step 6: Final answer
    x = 8,406.90

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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.