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Finding the Fourth Proportional to 7,217.60, 10,826.40 and 4,096.40

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Solution

The fourth proportional to 7,217.60, 10,826.40 and 4,096.40 is: 6,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.60 : 10,826.40 = 4,096.40 : x
  2. Step 2: Convert to fraction form
    7,217.60/10,826.40 = 4,096.40/x
  3. Step 3: Cross multiply
    7,217.60x = 10,826.40 × 4,096.40
  4. Step 4: Simplify right side
    7,217.60x = 44,349,264.96
  5. Step 5: Solve for x
    x = 44,349,264.96/7,217.60
  6. Step 6: Final answer
    x = 6,144.60

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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.