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Finding the Fourth Proportional to 7,065.83, 10,582.35 and 6,819.80

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Solution

The fourth proportional to 7,065.83, 10,582.35 and 6,819.80 is: 10,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.83 : 10,582.35 = 6,819.80 : x
  2. Step 2: Convert to fraction form
    7,065.83/10,582.35 = 6,819.80/x
  3. Step 3: Cross multiply
    7,065.83x = 10,582.35 × 6,819.80
  4. Step 4: Simplify right side
    7,065.83x = 72,169,432.04
  5. Step 5: Solve for x
    x = 72,169,432.04/7,065.83
  6. Step 6: Final answer
    x = 10,213.86

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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.