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Finding the Fourth Proportional to 7,826.46, 10,800.72 and 4,423.20

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Solution

The fourth proportional to 7,826.46, 10,800.72 and 4,423.20 is: 6,104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.46 : 10,800.72 = 4,423.20 : x
  2. Step 2: Convert to fraction form
    7,826.46/10,800.72 = 4,423.20/x
  3. Step 3: Cross multiply
    7,826.46x = 10,800.72 × 4,423.20
  4. Step 4: Simplify right side
    7,826.46x = 47,773,744.70
  5. Step 5: Solve for x
    x = 47,773,744.70/7,826.46
  6. Step 6: Final answer
    x = 6,104.13

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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.