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Finding the Fourth Proportional to 10,986.40, 16,479.60 and 5,737.60

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Solution

The fourth proportional to 10,986.40, 16,479.60 and 5,737.60 is: 8,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.40 : 16,479.60 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    10,986.40/16,479.60 = 5,737.60/x
  3. Step 3: Cross multiply
    10,986.40x = 16,479.60 × 5,737.60
  4. Step 4: Simplify right side
    10,986.40x = 94,553,352.96
  5. Step 5: Solve for x
    x = 94,553,352.96/10,986.40
  6. Step 6: Final answer
    x = 8,606.40

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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.