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Finding the Fourth Proportional to 6,222.68, 8,595.72 and 5,779.83

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Solution

The fourth proportional to 6,222.68, 8,595.72 and 5,779.83 is: 7,983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.68 : 8,595.72 = 5,779.83 : x
  2. Step 2: Convert to fraction form
    6,222.68/8,595.72 = 5,779.83/x
  3. Step 3: Cross multiply
    6,222.68x = 8,595.72 × 5,779.83
  4. Step 4: Simplify right side
    6,222.68x = 49,681,800.33
  5. Step 5: Solve for x
    x = 49,681,800.33/6,222.68
  6. Step 6: Final answer
    x = 7,983.99

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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.