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Finding the Fourth Proportional to 10,826.60, 16,211.86 and 9,276.53

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Solution

The fourth proportional to 10,826.60, 16,211.86 and 9,276.53 is: 13,890.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.60 : 16,211.86 = 9,276.53 : x
  2. Step 2: Convert to fraction form
    10,826.60/16,211.86 = 9,276.53/x
  3. Step 3: Cross multiply
    10,826.60x = 16,211.86 × 9,276.53
  4. Step 4: Simplify right side
    10,826.60x = 150,389,701.40
  5. Step 5: Solve for x
    x = 150,389,701.40/10,826.60
  6. Step 6: Final answer
    x = 13,890.77

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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.