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Finding the Fourth Proportional to 10,976.60, 16,454.10 and 5,430.80

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Solution

The fourth proportional to 10,976.60, 16,454.10 and 5,430.80 is: 8,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.60 : 16,454.10 = 5,430.80 : x
  2. Step 2: Convert to fraction form
    10,976.60/16,454.10 = 5,430.80/x
  3. Step 3: Cross multiply
    10,976.60x = 16,454.10 × 5,430.80
  4. Step 4: Simplify right side
    10,976.60x = 89,358,926.28
  5. Step 5: Solve for x
    x = 89,358,926.28/10,976.60
  6. Step 6: Final answer
    x = 8,140.86

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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.