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Finding the Fourth Proportional to 10,651.60, 14,698.14 and 6,176.80

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Solution

The fourth proportional to 10,651.60, 14,698.14 and 6,176.80 is: 8,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.60 : 14,698.14 = 6,176.80 : x
  2. Step 2: Convert to fraction form
    10,651.60/14,698.14 = 6,176.80/x
  3. Step 3: Cross multiply
    10,651.60x = 14,698.14 × 6,176.80
  4. Step 4: Simplify right side
    10,651.60x = 90,787,471.15
  5. Step 5: Solve for x
    x = 90,787,471.15/10,651.60
  6. Step 6: Final answer
    x = 8,523.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.